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Finding the Third Proportional to 406,949.25 and 598,663.13

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Solution

The third proportional to 406,949.25 and 598,663.13 is: 880,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,949.25 : 598,663.13 = 598,663.13 : x
  2. Step 2: Convert to fraction form
    406,949.25/598,663.13 = 598,663.13/x
  3. Step 3: Cross multiply
    406,949.25x = 598,663.13 × 598,663.13
  4. Step 4: Simplify right side
    406,949.25x = 358,397,537,234.77
  5. Step 5: Solve for x
    x = 358,397,537,234.77/406,949.25
  6. Step 6: Final answer
    x = 880,693.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.