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Finding the Third Proportional to 240,038 and 522,396

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Solution

The third proportional to 240,038 and 522,396 is: 1,136,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,038 : 522,396 = 522,396 : x
  2. Step 2: Convert to fraction form
    240,038/522,396 = 522,396/x
  3. Step 3: Cross multiply
    240,038x = 522,396 × 522,396
  4. Step 4: Simplify right side
    240,038x = 272,897,580,816
  5. Step 5: Solve for x
    x = 272,897,580,816/240,038
  6. Step 6: Final answer
    x = 1,136,893.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.