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Finding the Third Proportional to 523,122.75 and 740,421.38

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Solution

The third proportional to 523,122.75 and 740,421.38 is: 1,047,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,122.75 : 740,421.38 = 740,421.38 : x
  2. Step 2: Convert to fraction form
    523,122.75/740,421.38 = 740,421.38/x
  3. Step 3: Cross multiply
    523,122.75x = 740,421.38 × 740,421.38
  4. Step 4: Simplify right side
    523,122.75x = 548,223,812,556.89
  5. Step 5: Solve for x
    x = 548,223,812,556.89/523,122.75
  6. Step 6: Final answer
    x = 1,047,983.12

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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.