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Finding the Third Proportional to 409,287 and 631,426.50

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Solution

The third proportional to 409,287 and 631,426.50 is: 974,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,287 : 631,426.50 = 631,426.50 : x
  2. Step 2: Convert to fraction form
    409,287/631,426.50 = 631,426.50/x
  3. Step 3: Cross multiply
    409,287x = 631,426.50 × 631,426.50
  4. Step 4: Simplify right side
    409,287x = 398,699,424,902.25
  5. Step 5: Solve for x
    x = 398,699,424,902.25/409,287
  6. Step 6: Final answer
    x = 974,131.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.