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Finding the Third Proportional to 402,476 and 544,664

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Solution

The third proportional to 402,476 and 544,664 is: 737,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,476 : 544,664 = 544,664 : x
  2. Step 2: Convert to fraction form
    402,476/544,664 = 544,664/x
  3. Step 3: Cross multiply
    402,476x = 544,664 × 544,664
  4. Step 4: Simplify right side
    402,476x = 296,658,872,896
  5. Step 5: Solve for x
    x = 296,658,872,896/402,476
  6. Step 6: Final answer
    x = 737,084.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.