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Finding the Third Proportional to 301,458 and 466,569

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Solution

The third proportional to 301,458 and 466,569 is: 722,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,458 : 466,569 = 466,569 : x
  2. Step 2: Convert to fraction form
    301,458/466,569 = 466,569/x
  3. Step 3: Cross multiply
    301,458x = 466,569 × 466,569
  4. Step 4: Simplify right side
    301,458x = 217,686,631,761
  5. Step 5: Solve for x
    x = 217,686,631,761/301,458
  6. Step 6: Final answer
    x = 722,112.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.