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Finding the Third Proportional to 406,103.50 and 631,304

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Solution

The third proportional to 406,103.50 and 631,304 is: 981,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,103.50 : 631,304 = 631,304 : x
  2. Step 2: Convert to fraction form
    406,103.50/631,304 = 631,304/x
  3. Step 3: Cross multiply
    406,103.50x = 631,304 × 631,304
  4. Step 4: Simplify right side
    406,103.50x = 398,544,740,416
  5. Step 5: Solve for x
    x = 398,544,740,416/406,103.50
  6. Step 6: Final answer
    x = 981,387.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.