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Finding the Third Proportional to 577,669.31 and 898,005.94

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Solution

The third proportional to 577,669.31 and 898,005.94 is: 1,395,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,669.31 : 898,005.94 = 898,005.94 : x
  2. Step 2: Convert to fraction form
    577,669.31/898,005.94 = 898,005.94/x
  3. Step 3: Cross multiply
    577,669.31x = 898,005.94 × 898,005.94
  4. Step 4: Simplify right side
    577,669.31x = 806,414,663,785.25
  5. Step 5: Solve for x
    x = 806,414,663,785.25/577,669.31
  6. Step 6: Final answer
    x = 1,395,979.75

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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.