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Finding the Third Proportional to 655,702.75 and 1,011,585.74

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Solution

The third proportional to 655,702.75 and 1,011,585.74 is: 1,560,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,702.75 : 1,011,585.74 = 1,011,585.74 : x
  2. Step 2: Convert to fraction form
    655,702.75/1,011,585.74 = 1,011,585.74/x
  3. Step 3: Cross multiply
    655,702.75x = 1,011,585.74 × 1,011,585.74
  4. Step 4: Simplify right side
    655,702.75x = 1,023,305,717,748.49
  5. Step 5: Solve for x
    x = 1,023,305,717,748.49/655,702.75
  6. Step 6: Final answer
    x = 1,560,624.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.