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Finding the Third Proportional to 650,085.75 and 705,034.13

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Solution

The third proportional to 650,085.75 and 705,034.13 is: 764,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,085.75 : 705,034.13 = 705,034.13 : x
  2. Step 2: Convert to fraction form
    650,085.75/705,034.13 = 705,034.13/x
  3. Step 3: Cross multiply
    650,085.75x = 705,034.13 × 705,034.13
  4. Step 4: Simplify right side
    650,085.75x = 497,073,117,414.52
  5. Step 5: Solve for x
    x = 497,073,117,414.52/650,085.75
  6. Step 6: Final answer
    x = 764,627.00

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.