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Finding the Third Proportional to 577,854 and 898,258.50

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Solution

The third proportional to 577,854 and 898,258.50 is: 1,396,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,854 : 898,258.50 = 898,258.50 : x
  2. Step 2: Convert to fraction form
    577,854/898,258.50 = 898,258.50/x
  3. Step 3: Cross multiply
    577,854x = 898,258.50 × 898,258.50
  4. Step 4: Simplify right side
    577,854x = 806,868,332,822.25
  5. Step 5: Solve for x
    x = 806,868,332,822.25/577,854
  6. Step 6: Final answer
    x = 1,396,318.68

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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.