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Finding the Third Proportional to 402,281 and 596,457

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Solution

The third proportional to 402,281 and 596,457 is: 884,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,281 : 596,457 = 596,457 : x
  2. Step 2: Convert to fraction form
    402,281/596,457 = 596,457/x
  3. Step 3: Cross multiply
    402,281x = 596,457 × 596,457
  4. Step 4: Simplify right side
    402,281x = 355,760,952,849
  5. Step 5: Solve for x
    x = 355,760,952,849/402,281
  6. Step 6: Final answer
    x = 884,359.32

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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.