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Finding the Third Proportional to 312,528.38 and 466,734.66

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Solution

The third proportional to 312,528.38 and 466,734.66 is: 697,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,528.38 : 466,734.66 = 466,734.66 : x
  2. Step 2: Convert to fraction form
    312,528.38/466,734.66 = 466,734.66/x
  3. Step 3: Cross multiply
    312,528.38x = 466,734.66 × 466,734.66
  4. Step 4: Simplify right side
    312,528.38x = 217,841,239,344.81
  5. Step 5: Solve for x
    x = 217,841,239,344.81/312,528.38
  6. Step 6: Final answer
    x = 697,028.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.