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Finding the Third Proportional to 465,570 and 743,862

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Solution

The third proportional to 465,570 and 743,862 is: 1,188,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,570 : 743,862 = 743,862 : x
  2. Step 2: Convert to fraction form
    465,570/743,862 = 743,862/x
  3. Step 3: Cross multiply
    465,570x = 743,862 × 743,862
  4. Step 4: Simplify right side
    465,570x = 553,330,675,044
  5. Step 5: Solve for x
    x = 553,330,675,044/465,570
  6. Step 6: Final answer
    x = 1,188,501.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.