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Finding the Third Proportional to 523,122.38 and 740,421.75

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Solution

The third proportional to 523,122.38 and 740,421.75 is: 1,047,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,122.38 : 740,421.75 = 740,421.75 : x
  2. Step 2: Convert to fraction form
    523,122.38/740,421.75 = 740,421.75/x
  3. Step 3: Cross multiply
    523,122.38x = 740,421.75 × 740,421.75
  4. Step 4: Simplify right side
    523,122.38x = 548,224,367,873.06
  5. Step 5: Solve for x
    x = 548,224,367,873.06/523,122.38
  6. Step 6: Final answer
    x = 1,047,984.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.