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Finding the Third Proportional to 557,155.13 and 886,285.13

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Solution

The third proportional to 557,155.13 and 886,285.13 is: 1,409,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,155.13 : 886,285.13 = 886,285.13 : x
  2. Step 2: Convert to fraction form
    557,155.13/886,285.13 = 886,285.13/x
  3. Step 3: Cross multiply
    557,155.13x = 886,285.13 × 886,285.13
  4. Step 4: Simplify right side
    557,155.13x = 785,501,322,796.27
  5. Step 5: Solve for x
    x = 785,501,322,796.27/557,155.13
  6. Step 6: Final answer
    x = 1,409,843.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.