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Finding the Third Proportional to 461,292 and 998,398.50

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Solution

The third proportional to 461,292 and 998,398.50 is: 2,160,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,292 : 998,398.50 = 998,398.50 : x
  2. Step 2: Convert to fraction form
    461,292/998,398.50 = 998,398.50/x
  3. Step 3: Cross multiply
    461,292x = 998,398.50 × 998,398.50
  4. Step 4: Simplify right side
    461,292x = 996,799,564,802.25
  5. Step 5: Solve for x
    x = 996,799,564,802.25/461,292
  6. Step 6: Final answer
    x = 2,160,886.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.