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Finding the Third Proportional to 287,709 and 632,522

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Solution

The third proportional to 287,709 and 632,522 is: 1,390,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,709 : 632,522 = 632,522 : x
  2. Step 2: Convert to fraction form
    287,709/632,522 = 632,522/x
  3. Step 3: Cross multiply
    287,709x = 632,522 × 632,522
  4. Step 4: Simplify right side
    287,709x = 400,084,080,484
  5. Step 5: Solve for x
    x = 400,084,080,484/287,709
  6. Step 6: Final answer
    x = 1,390,585.91

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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.