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Finding the Third Proportional to 406,103 and 631,303.25

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Solution

The third proportional to 406,103 and 631,303.25 is: 981,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,103 : 631,303.25 = 631,303.25 : x
  2. Step 2: Convert to fraction form
    406,103/631,303.25 = 631,303.25/x
  3. Step 3: Cross multiply
    406,103x = 631,303.25 × 631,303.25
  4. Step 4: Simplify right side
    406,103x = 398,543,793,460.56
  5. Step 5: Solve for x
    x = 398,543,793,460.56/406,103
  6. Step 6: Final answer
    x = 981,385.99

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