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Finding the Third Proportional to 478,591 and 750,873

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Solution

The third proportional to 478,591 and 750,873 is: 1,178,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,591 : 750,873 = 750,873 : x
  2. Step 2: Convert to fraction form
    478,591/750,873 = 750,873/x
  3. Step 3: Cross multiply
    478,591x = 750,873 × 750,873
  4. Step 4: Simplify right side
    478,591x = 563,810,262,129
  5. Step 5: Solve for x
    x = 563,810,262,129/478,591
  6. Step 6: Final answer
    x = 1,178,062.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.