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Finding the Third Proportional to 577,856 and 898,246

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Solution

The third proportional to 577,856 and 898,246 is: 1,396,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,856 : 898,246 = 898,246 : x
  2. Step 2: Convert to fraction form
    577,856/898,246 = 898,246/x
  3. Step 3: Cross multiply
    577,856x = 898,246 × 898,246
  4. Step 4: Simplify right side
    577,856x = 806,845,876,516
  5. Step 5: Solve for x
    x = 806,845,876,516/577,856
  6. Step 6: Final answer
    x = 1,396,274.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.