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Finding the Third Proportional to 374,864 and 809,602

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Solution

The third proportional to 374,864 and 809,602 is: 1,748,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,864 : 809,602 = 809,602 : x
  2. Step 2: Convert to fraction form
    374,864/809,602 = 809,602/x
  3. Step 3: Cross multiply
    374,864x = 809,602 × 809,602
  4. Step 4: Simplify right side
    374,864x = 655,455,398,404
  5. Step 5: Solve for x
    x = 655,455,398,404/374,864
  6. Step 6: Final answer
    x = 1,748,515.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.