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Finding the Third Proportional to 517,873.50 and 794,853

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Solution

The third proportional to 517,873.50 and 794,853 is: 1,219,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,873.50 : 794,853 = 794,853 : x
  2. Step 2: Convert to fraction form
    517,873.50/794,853 = 794,853/x
  3. Step 3: Cross multiply
    517,873.50x = 794,853 × 794,853
  4. Step 4: Simplify right side
    517,873.50x = 631,791,291,609
  5. Step 5: Solve for x
    x = 631,791,291,609/517,873.50
  6. Step 6: Final answer
    x = 1,219,972.24

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Why These Related Problems?

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