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Finding the Third Proportional to 516,769.88 and 807,615.56

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Solution

The third proportional to 516,769.88 and 807,615.56 is: 1,262,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,769.88 : 807,615.56 = 807,615.56 : x
  2. Step 2: Convert to fraction form
    516,769.88/807,615.56 = 807,615.56/x
  3. Step 3: Cross multiply
    516,769.88x = 807,615.56 × 807,615.56
  4. Step 4: Simplify right side
    516,769.88x = 652,242,896,792.19
  5. Step 5: Solve for x
    x = 652,242,896,792.19/516,769.88
  6. Step 6: Final answer
    x = 1,262,153.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.