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Finding the Third Proportional to 549,691 and 840,883.75

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Solution

The third proportional to 549,691 and 840,883.75 is: 1,286,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,691 : 840,883.75 = 840,883.75 : x
  2. Step 2: Convert to fraction form
    549,691/840,883.75 = 840,883.75/x
  3. Step 3: Cross multiply
    549,691x = 840,883.75 × 840,883.75
  4. Step 4: Simplify right side
    549,691x = 707,085,481,014.06
  5. Step 5: Solve for x
    x = 707,085,481,014.06/549,691
  6. Step 6: Final answer
    x = 1,286,332.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.