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Finding the Third Proportional to 287,715 and 632,535

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Solution

The third proportional to 287,715 and 632,535 is: 1,390,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,715 : 632,535 = 632,535 : x
  2. Step 2: Convert to fraction form
    287,715/632,535 = 632,535/x
  3. Step 3: Cross multiply
    287,715x = 632,535 × 632,535
  4. Step 4: Simplify right side
    287,715x = 400,100,526,225
  5. Step 5: Solve for x
    x = 400,100,526,225/287,715
  6. Step 6: Final answer
    x = 1,390,614.07

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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.