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Finding the Third Proportional to 512,996.50 and 766,623

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Solution

The third proportional to 512,996.50 and 766,623 is: 1,145,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,996.50 : 766,623 = 766,623 : x
  2. Step 2: Convert to fraction form
    512,996.50/766,623 = 766,623/x
  3. Step 3: Cross multiply
    512,996.50x = 766,623 × 766,623
  4. Step 4: Simplify right side
    512,996.50x = 587,710,824,129
  5. Step 5: Solve for x
    x = 587,710,824,129/512,996.50
  6. Step 6: Final answer
    x = 1,145,642.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.