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Finding the Third Proportional to 412,959 and 625,153.50

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Solution

The third proportional to 412,959 and 625,153.50 is: 946,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,959 : 625,153.50 = 625,153.50 : x
  2. Step 2: Convert to fraction form
    412,959/625,153.50 = 625,153.50/x
  3. Step 3: Cross multiply
    412,959x = 625,153.50 × 625,153.50
  4. Step 4: Simplify right side
    412,959x = 390,816,898,562.25
  5. Step 5: Solve for x
    x = 390,816,898,562.25/412,959
  6. Step 6: Final answer
    x = 946,381.84

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