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Finding the Third Proportional to 516,739.50 and 760,340.25

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Solution

The third proportional to 516,739.50 and 760,340.25 is: 1,118,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,739.50 : 760,340.25 = 760,340.25 : x
  2. Step 2: Convert to fraction form
    516,739.50/760,340.25 = 760,340.25/x
  3. Step 3: Cross multiply
    516,739.50x = 760,340.25 × 760,340.25
  4. Step 4: Simplify right side
    516,739.50x = 578,117,295,770.06
  5. Step 5: Solve for x
    x = 578,117,295,770.06/516,739.50
  6. Step 6: Final answer
    x = 1,118,778.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.