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Finding the Third Proportional to 577,856.53 and 898,258.78

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Solution

The third proportional to 577,856.53 and 898,258.78 is: 1,396,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,856.53 : 898,258.78 = 898,258.78 : x
  2. Step 2: Convert to fraction form
    577,856.53/898,258.78 = 898,258.78/x
  3. Step 3: Cross multiply
    577,856.53x = 898,258.78 × 898,258.78
  4. Step 4: Simplify right side
    577,856.53x = 806,868,838,092.74
  5. Step 5: Solve for x
    x = 806,868,838,092.74/577,856.53
  6. Step 6: Final answer
    x = 1,396,313.44

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Why These Related Problems?

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