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Finding the Third Proportional to 627,139.13 and 946,586.25

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Solution

The third proportional to 627,139.13 and 946,586.25 is: 1,428,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,139.13 : 946,586.25 = 946,586.25 : x
  2. Step 2: Convert to fraction form
    627,139.13/946,586.25 = 946,586.25/x
  3. Step 3: Cross multiply
    627,139.13x = 946,586.25 × 946,586.25
  4. Step 4: Simplify right side
    627,139.13x = 896,025,528,689.06
  5. Step 5: Solve for x
    x = 896,025,528,689.06/627,139.13
  6. Step 6: Final answer
    x = 1,428,750.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.