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Finding the Third Proportional to 374,073 and 807,195

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Solution

The third proportional to 374,073 and 807,195 is: 1,741,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,073 : 807,195 = 807,195 : x
  2. Step 2: Convert to fraction form
    374,073/807,195 = 807,195/x
  3. Step 3: Cross multiply
    374,073x = 807,195 × 807,195
  4. Step 4: Simplify right side
    374,073x = 651,563,768,025
  5. Step 5: Solve for x
    x = 651,563,768,025/374,073
  6. Step 6: Final answer
    x = 1,741,809.13

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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.