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Finding the Third Proportional to 412,957.13 and 555,769.13

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Solution

The third proportional to 412,957.13 and 555,769.13 is: 747,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,957.13 : 555,769.13 = 555,769.13 : x
  2. Step 2: Convert to fraction form
    412,957.13/555,769.13 = 555,769.13/x
  3. Step 3: Cross multiply
    412,957.13x = 555,769.13 × 555,769.13
  4. Step 4: Simplify right side
    412,957.13x = 308,879,320,303.27
  5. Step 5: Solve for x
    x = 308,879,320,303.27/412,957.13
  6. Step 6: Final answer
    x = 747,969.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.