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Finding the Third Proportional to 652,324 and 975,448

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Solution

The third proportional to 652,324 and 975,448 is: 1,458,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,324 : 975,448 = 975,448 : x
  2. Step 2: Convert to fraction form
    652,324/975,448 = 975,448/x
  3. Step 3: Cross multiply
    652,324x = 975,448 × 975,448
  4. Step 4: Simplify right side
    652,324x = 951,498,800,704
  5. Step 5: Solve for x
    x = 951,498,800,704/652,324
  6. Step 6: Final answer
    x = 1,458,629.15

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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.