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Finding the Third Proportional to 559,127.81 and 744,943.50

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Solution

The third proportional to 559,127.81 and 744,943.50 is: 992,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,127.81 : 744,943.50 = 744,943.50 : x
  2. Step 2: Convert to fraction form
    559,127.81/744,943.50 = 744,943.50/x
  3. Step 3: Cross multiply
    559,127.81x = 744,943.50 × 744,943.50
  4. Step 4: Simplify right side
    559,127.81x = 554,940,818,192.25
  5. Step 5: Solve for x
    x = 554,940,818,192.25/559,127.81
  6. Step 6: Final answer
    x = 992,511.56

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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.