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Finding the Third Proportional to 287,719 and 632,540

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Solution

The third proportional to 287,719 and 632,540 is: 1,390,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,719 : 632,540 = 632,540 : x
  2. Step 2: Convert to fraction form
    287,719/632,540 = 632,540/x
  3. Step 3: Cross multiply
    287,719x = 632,540 × 632,540
  4. Step 4: Simplify right side
    287,719x = 400,106,851,600
  5. Step 5: Solve for x
    x = 400,106,851,600/287,719
  6. Step 6: Final answer
    x = 1,390,616.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.