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Finding the Third Proportional to 301,374 and 466,230.94

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Solution

The third proportional to 301,374 and 466,230.94 is: 721,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,374 : 466,230.94 = 466,230.94 : x
  2. Step 2: Convert to fraction form
    301,374/466,230.94 = 466,230.94/x
  3. Step 3: Cross multiply
    301,374x = 466,230.94 × 466,230.94
  4. Step 4: Simplify right side
    301,374x = 217,371,287,082.13
  5. Step 5: Solve for x
    x = 217,371,287,082.13/301,374
  6. Step 6: Final answer
    x = 721,267.55

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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.