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Finding the Third Proportional to 507,687.75 and 787,160.53

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Solution

The third proportional to 507,687.75 and 787,160.53 is: 1,220,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,687.75 : 787,160.53 = 787,160.53 : x
  2. Step 2: Convert to fraction form
    507,687.75/787,160.53 = 787,160.53/x
  3. Step 3: Cross multiply
    507,687.75x = 787,160.53 × 787,160.53
  4. Step 4: Simplify right side
    507,687.75x = 619,621,701,957.78
  5. Step 5: Solve for x
    x = 619,621,701,957.78/507,687.75
  6. Step 6: Final answer
    x = 1,220,477.95

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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.