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Finding the Third Proportional to 402,273 and 596,446

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Solution

The third proportional to 402,273 and 596,446 is: 884,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,273 : 596,446 = 596,446 : x
  2. Step 2: Convert to fraction form
    402,273/596,446 = 596,446/x
  3. Step 3: Cross multiply
    402,273x = 596,446 × 596,446
  4. Step 4: Simplify right side
    402,273x = 355,747,830,916
  5. Step 5: Solve for x
    x = 355,747,830,916/402,273
  6. Step 6: Final answer
    x = 884,344.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.