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Finding the Third Proportional to 421,777.13 and 602,716.13

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Solution

The third proportional to 421,777.13 and 602,716.13 is: 861,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,777.13 : 602,716.13 = 602,716.13 : x
  2. Step 2: Convert to fraction form
    421,777.13/602,716.13 = 602,716.13/x
  3. Step 3: Cross multiply
    421,777.13x = 602,716.13 × 602,716.13
  4. Step 4: Simplify right side
    421,777.13x = 363,266,727,335.02
  5. Step 5: Solve for x
    x = 363,266,727,335.02/421,777.13
  6. Step 6: Final answer
    x = 861,276.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.