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Finding the Third Proportional to 667,319.06 and 1,034,153.16

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Solution

The third proportional to 667,319.06 and 1,034,153.16 is: 1,602,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,319.06 : 1,034,153.16 = 1,034,153.16 : x
  2. Step 2: Convert to fraction form
    667,319.06/1,034,153.16 = 1,034,153.16/x
  3. Step 3: Cross multiply
    667,319.06x = 1,034,153.16 × 1,034,153.16
  4. Step 4: Simplify right side
    667,319.06x = 1,069,472,750,581.84
  5. Step 5: Solve for x
    x = 1,069,472,750,581.84/667,319.06
  6. Step 6: Final answer
    x = 1,602,640.79

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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.