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Finding the Third Proportional to 305,862 and 466,569

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Solution

The third proportional to 305,862 and 466,569 is: 711,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862 : 466,569 = 466,569 : x
  2. Step 2: Convert to fraction form
    305,862/466,569 = 466,569/x
  3. Step 3: Cross multiply
    305,862x = 466,569 × 466,569
  4. Step 4: Simplify right side
    305,862x = 217,686,631,761
  5. Step 5: Solve for x
    x = 217,686,631,761/305,862
  6. Step 6: Final answer
    x = 711,715.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.