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Finding the Third Proportional to 410,448,677.25 and 636,082,440.75

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Solution

The third proportional to 410,448,677.25 and 636,082,440.75 is: 985,752,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,448,677.25 : 636,082,440.75 = 636,082,440.75 : x
  2. Step 2: Convert to fraction form
    410,448,677.25/636,082,440.75 = 636,082,440.75/x
  3. Step 3: Cross multiply
    410,448,677.25x = 636,082,440.75 × 636,082,440.75
  4. Step 4: Simplify right side
    410,448,677.25x = 404,600,871,430,477,248
  5. Step 5: Solve for x
    x = 404,600,871,430,477,248/410,448,677.25
  6. Step 6: Final answer
    x = 985,752,650.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.