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Finding the Third Proportional to 370,027 and 808,532

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Solution

The third proportional to 370,027 and 808,532 is: 1,766,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,027 : 808,532 = 808,532 : x
  2. Step 2: Convert to fraction form
    370,027/808,532 = 808,532/x
  3. Step 3: Cross multiply
    370,027x = 808,532 × 808,532
  4. Step 4: Simplify right side
    370,027x = 653,723,995,024
  5. Step 5: Solve for x
    x = 653,723,995,024/370,027
  6. Step 6: Final answer
    x = 1,766,692.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.