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Finding the Third Proportional to 262,475 and 542,448

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Solution

The third proportional to 262,475 and 542,448 is: 1,121,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,475 : 542,448 = 542,448 : x
  2. Step 2: Convert to fraction form
    262,475/542,448 = 542,448/x
  3. Step 3: Cross multiply
    262,475x = 542,448 × 542,448
  4. Step 4: Simplify right side
    262,475x = 294,249,832,704
  5. Step 5: Solve for x
    x = 294,249,832,704/262,475
  6. Step 6: Final answer
    x = 1,121,058.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.