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Finding the Third Proportional to 264,384 and 409,527

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Solution

The third proportional to 264,384 and 409,527 is: 634,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,384 : 409,527 = 409,527 : x
  2. Step 2: Convert to fraction form
    264,384/409,527 = 409,527/x
  3. Step 3: Cross multiply
    264,384x = 409,527 × 409,527
  4. Step 4: Simplify right side
    264,384x = 167,712,363,729
  5. Step 5: Solve for x
    x = 167,712,363,729/264,384
  6. Step 6: Final answer
    x = 634,351.41

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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.