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Finding the Third Proportional to 414,703.50 and 557,272.50

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Solution

The third proportional to 414,703.50 and 557,272.50 is: 748,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,703.50 : 557,272.50 = 557,272.50 : x
  2. Step 2: Convert to fraction form
    414,703.50/557,272.50 = 557,272.50/x
  3. Step 3: Cross multiply
    414,703.50x = 557,272.50 × 557,272.50
  4. Step 4: Simplify right side
    414,703.50x = 310,552,639,256.25
  5. Step 5: Solve for x
    x = 310,552,639,256.25/414,703.50
  6. Step 6: Final answer
    x = 748,854.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.