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Finding the Third Proportional to 370,587 and 808,086

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Solution

The third proportional to 370,587 and 808,086 is: 1,762,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,587 : 808,086 = 808,086 : x
  2. Step 2: Convert to fraction form
    370,587/808,086 = 808,086/x
  3. Step 3: Cross multiply
    370,587x = 808,086 × 808,086
  4. Step 4: Simplify right side
    370,587x = 653,002,983,396
  5. Step 5: Solve for x
    x = 653,002,983,396/370,587
  6. Step 6: Final answer
    x = 1,762,077.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.