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Finding the Third Proportional to 402,260 and 596,431

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Solution

The third proportional to 402,260 and 596,431 is: 884,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,260 : 596,431 = 596,431 : x
  2. Step 2: Convert to fraction form
    402,260/596,431 = 596,431/x
  3. Step 3: Cross multiply
    402,260x = 596,431 × 596,431
  4. Step 4: Simplify right side
    402,260x = 355,729,937,761
  5. Step 5: Solve for x
    x = 355,729,937,761/402,260
  6. Step 6: Final answer
    x = 884,328.39

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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.