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Finding the Third Proportional to 484,506 and 743,703.75

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Solution

The third proportional to 484,506 and 743,703.75 is: 1,141,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,506 : 743,703.75 = 743,703.75 : x
  2. Step 2: Convert to fraction form
    484,506/743,703.75 = 743,703.75/x
  3. Step 3: Cross multiply
    484,506x = 743,703.75 × 743,703.75
  4. Step 4: Simplify right side
    484,506x = 553,095,267,764.06
  5. Step 5: Solve for x
    x = 553,095,267,764.06/484,506
  6. Step 6: Final answer
    x = 1,141,565.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.