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Finding the Third Proportional to 402,280 and 596,458

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Solution

The third proportional to 402,280 and 596,458 is: 884,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,280 : 596,458 = 596,458 : x
  2. Step 2: Convert to fraction form
    402,280/596,458 = 596,458/x
  3. Step 3: Cross multiply
    402,280x = 596,458 × 596,458
  4. Step 4: Simplify right side
    402,280x = 355,762,145,764
  5. Step 5: Solve for x
    x = 355,762,145,764/402,280
  6. Step 6: Final answer
    x = 884,364.49

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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.