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Finding the Third Proportional to 442,885.50 and 687,089.25

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Solution

The third proportional to 442,885.50 and 687,089.25 is: 1,065,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,885.50 : 687,089.25 = 687,089.25 : x
  2. Step 2: Convert to fraction form
    442,885.50/687,089.25 = 687,089.25/x
  3. Step 3: Cross multiply
    442,885.50x = 687,089.25 × 687,089.25
  4. Step 4: Simplify right side
    442,885.50x = 472,091,637,465.56
  5. Step 5: Solve for x
    x = 472,091,637,465.56/442,885.50
  6. Step 6: Final answer
    x = 1,065,945.12

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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.