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Finding the Third Proportional to 287,781 and 632,666

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Solution

The third proportional to 287,781 and 632,666 is: 1,390,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,781 : 632,666 = 632,666 : x
  2. Step 2: Convert to fraction form
    287,781/632,666 = 632,666/x
  3. Step 3: Cross multiply
    287,781x = 632,666 × 632,666
  4. Step 4: Simplify right side
    287,781x = 400,266,267,556
  5. Step 5: Solve for x
    x = 400,266,267,556/287,781
  6. Step 6: Final answer
    x = 1,390,871.07

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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.