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Finding the Third Proportional to 250,779.75 and 542,463.38

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Solution

The third proportional to 250,779.75 and 542,463.38 is: 1,173,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,779.75 : 542,463.38 = 542,463.38 : x
  2. Step 2: Convert to fraction form
    250,779.75/542,463.38 = 542,463.38/x
  3. Step 3: Cross multiply
    250,779.75x = 542,463.38 × 542,463.38
  4. Step 4: Simplify right side
    250,779.75x = 294,266,513,216.39
  5. Step 5: Solve for x
    x = 294,266,513,216.39/250,779.75
  6. Step 6: Final answer
    x = 1,173,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.