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Finding the Third Proportional to 400,522 and 600,862

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Solution

The third proportional to 400,522 and 600,862 is: 901,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,522 : 600,862 = 600,862 : x
  2. Step 2: Convert to fraction form
    400,522/600,862 = 600,862/x
  3. Step 3: Cross multiply
    400,522x = 600,862 × 600,862
  4. Step 4: Simplify right side
    400,522x = 361,035,143,044
  5. Step 5: Solve for x
    x = 361,035,143,044/400,522
  6. Step 6: Final answer
    x = 901,411.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.