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Finding the Third Proportional to 287,768 and 632,640

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Solution

The third proportional to 287,768 and 632,640 is: 1,390,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,768 : 632,640 = 632,640 : x
  2. Step 2: Convert to fraction form
    287,768/632,640 = 632,640/x
  3. Step 3: Cross multiply
    287,768x = 632,640 × 632,640
  4. Step 4: Simplify right side
    287,768x = 400,233,369,600
  5. Step 5: Solve for x
    x = 400,233,369,600/287,768
  6. Step 6: Final answer
    x = 1,390,819.58

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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.