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Finding the Third Proportional to 581,026.50 and 792,127.50

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Solution

The third proportional to 581,026.50 and 792,127.50 is: 1,079,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,026.50 : 792,127.50 = 792,127.50 : x
  2. Step 2: Convert to fraction form
    581,026.50/792,127.50 = 792,127.50/x
  3. Step 3: Cross multiply
    581,026.50x = 792,127.50 × 792,127.50
  4. Step 4: Simplify right side
    581,026.50x = 627,465,976,256.25
  5. Step 5: Solve for x
    x = 627,465,976,256.25/581,026.50
  6. Step 6: Final answer
    x = 1,079,926.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.