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Finding the Third Proportional to 516,151.50 and 777,210.75

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Solution

The third proportional to 516,151.50 and 777,210.75 is: 1,170,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,151.50 : 777,210.75 = 777,210.75 : x
  2. Step 2: Convert to fraction form
    516,151.50/777,210.75 = 777,210.75/x
  3. Step 3: Cross multiply
    516,151.50x = 777,210.75 × 777,210.75
  4. Step 4: Simplify right side
    516,151.50x = 604,056,549,915.56
  5. Step 5: Solve for x
    x = 604,056,549,915.56/516,151.50
  6. Step 6: Final answer
    x = 1,170,308.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.