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Finding the Third Proportional to 515,869.88 and 688,010.63

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Solution

The third proportional to 515,869.88 and 688,010.63 is: 917,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,869.88 : 688,010.63 = 688,010.63 : x
  2. Step 2: Convert to fraction form
    515,869.88/688,010.63 = 688,010.63/x
  3. Step 3: Cross multiply
    515,869.88x = 688,010.63 × 688,010.63
  4. Step 4: Simplify right side
    515,869.88x = 473,358,620,112.89
  5. Step 5: Solve for x
    x = 473,358,620,112.89/515,869.88
  6. Step 6: Final answer
    x = 917,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.