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Finding the Third Proportional to 402,256 and 596,423

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Solution

The third proportional to 402,256 and 596,423 is: 884,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,256 : 596,423 = 596,423 : x
  2. Step 2: Convert to fraction form
    402,256/596,423 = 596,423/x
  3. Step 3: Cross multiply
    402,256x = 596,423 × 596,423
  4. Step 4: Simplify right side
    402,256x = 355,720,394,929
  5. Step 5: Solve for x
    x = 355,720,394,929/402,256
  6. Step 6: Final answer
    x = 884,313.46

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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.