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Finding the Third Proportional to 512,851.50 and 687,811.50

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Solution

The third proportional to 512,851.50 and 687,811.50 is: 922,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,851.50 : 687,811.50 = 687,811.50 : x
  2. Step 2: Convert to fraction form
    512,851.50/687,811.50 = 687,811.50/x
  3. Step 3: Cross multiply
    512,851.50x = 687,811.50 × 687,811.50
  4. Step 4: Simplify right side
    512,851.50x = 473,084,659,532.25
  5. Step 5: Solve for x
    x = 473,084,659,532.25/512,851.50
  6. Step 6: Final answer
    x = 922,459.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.