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Finding the Third Proportional to 270,228 and 575,448

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Solution

The third proportional to 270,228 and 575,448 is: 1,225,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,228 : 575,448 = 575,448 : x
  2. Step 2: Convert to fraction form
    270,228/575,448 = 575,448/x
  3. Step 3: Cross multiply
    270,228x = 575,448 × 575,448
  4. Step 4: Simplify right side
    270,228x = 331,140,400,704
  5. Step 5: Solve for x
    x = 331,140,400,704/270,228
  6. Step 6: Final answer
    x = 1,225,411.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.