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Finding the Third Proportional to 498,508 and 1,087,240

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Solution

The third proportional to 498,508 and 1,087,240 is: 2,371,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,508 : 1,087,240 = 1,087,240 : x
  2. Step 2: Convert to fraction form
    498,508/1,087,240 = 1,087,240/x
  3. Step 3: Cross multiply
    498,508x = 1,087,240 × 1,087,240
  4. Step 4: Simplify right side
    498,508x = 1,182,090,817,600
  5. Step 5: Solve for x
    x = 1,182,090,817,600/498,508
  6. Step 6: Final answer
    x = 2,371,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.