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Finding the Third Proportional to 340,862 and 533,541

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Solution

The third proportional to 340,862 and 533,541 is: 835,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,862 : 533,541 = 533,541 : x
  2. Step 2: Convert to fraction form
    340,862/533,541 = 533,541/x
  3. Step 3: Cross multiply
    340,862x = 533,541 × 533,541
  4. Step 4: Simplify right side
    340,862x = 284,665,998,681
  5. Step 5: Solve for x
    x = 284,665,998,681/340,862
  6. Step 6: Final answer
    x = 835,135.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.