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Finding the Third Proportional to 582,550.50 and 787,063.50

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Solution

The third proportional to 582,550.50 and 787,063.50 is: 1,063,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,550.50 : 787,063.50 = 787,063.50 : x
  2. Step 2: Convert to fraction form
    582,550.50/787,063.50 = 787,063.50/x
  3. Step 3: Cross multiply
    582,550.50x = 787,063.50 × 787,063.50
  4. Step 4: Simplify right side
    582,550.50x = 619,468,953,032.25
  5. Step 5: Solve for x
    x = 619,468,953,032.25/582,550.50
  6. Step 6: Final answer
    x = 1,063,373.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.