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Finding the Third Proportional to 540,553.50 and 684,166.50

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Solution

The third proportional to 540,553.50 and 684,166.50 is: 865,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,553.50 : 684,166.50 = 684,166.50 : x
  2. Step 2: Convert to fraction form
    540,553.50/684,166.50 = 684,166.50/x
  3. Step 3: Cross multiply
    540,553.50x = 684,166.50 × 684,166.50
  4. Step 4: Simplify right side
    540,553.50x = 468,083,799,722.25
  5. Step 5: Solve for x
    x = 468,083,799,722.25/540,553.50
  6. Step 6: Final answer
    x = 865,934.27

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.