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Finding the Third Proportional to 360,677 and 771,385

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Solution

The third proportional to 360,677 and 771,385 is: 1,649,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,677 : 771,385 = 771,385 : x
  2. Step 2: Convert to fraction form
    360,677/771,385 = 771,385/x
  3. Step 3: Cross multiply
    360,677x = 771,385 × 771,385
  4. Step 4: Simplify right side
    360,677x = 595,034,818,225
  5. Step 5: Solve for x
    x = 595,034,818,225/360,677
  6. Step 6: Final answer
    x = 1,649,772.01

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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.