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Finding the Third Proportional to 301,446 and 466,557.75

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Solution

The third proportional to 301,446 and 466,557.75 is: 722,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446 : 466,557.75 = 466,557.75 : x
  2. Step 2: Convert to fraction form
    301,446/466,557.75 = 466,557.75/x
  3. Step 3: Cross multiply
    301,446x = 466,557.75 × 466,557.75
  4. Step 4: Simplify right side
    301,446x = 217,676,134,085.06
  5. Step 5: Solve for x
    x = 217,676,134,085.06/301,446
  6. Step 6: Final answer
    x = 722,106.56

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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.