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Finding the Third Proportional to 288,352 and 632,837

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Solution

The third proportional to 288,352 and 632,837 is: 1,388,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,352 : 632,837 = 632,837 : x
  2. Step 2: Convert to fraction form
    288,352/632,837 = 632,837/x
  3. Step 3: Cross multiply
    288,352x = 632,837 × 632,837
  4. Step 4: Simplify right side
    288,352x = 400,482,668,569
  5. Step 5: Solve for x
    x = 400,482,668,569/288,352
  6. Step 6: Final answer
    x = 1,388,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.