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Finding the Third Proportional to 406,970 and 594,902

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Solution

The third proportional to 406,970 and 594,902 is: 869,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970 : 594,902 = 594,902 : x
  2. Step 2: Convert to fraction form
    406,970/594,902 = 594,902/x
  3. Step 3: Cross multiply
    406,970x = 594,902 × 594,902
  4. Step 4: Simplify right side
    406,970x = 353,908,389,604
  5. Step 5: Solve for x
    x = 353,908,389,604/406,970
  6. Step 6: Final answer
    x = 869,617.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.