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Finding the Third Proportional to 374,101 and 800,726

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Solution

The third proportional to 374,101 and 800,726 is: 1,713,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,101 : 800,726 = 800,726 : x
  2. Step 2: Convert to fraction form
    374,101/800,726 = 800,726/x
  3. Step 3: Cross multiply
    374,101x = 800,726 × 800,726
  4. Step 4: Simplify right side
    374,101x = 641,162,127,076
  5. Step 5: Solve for x
    x = 641,162,127,076/374,101
  6. Step 6: Final answer
    x = 1,713,874.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.