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Finding the Third Proportional to 370,578 and 808,068

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Solution

The third proportional to 370,578 and 808,068 is: 1,762,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,578 : 808,068 = 808,068 : x
  2. Step 2: Convert to fraction form
    370,578/808,068 = 808,068/x
  3. Step 3: Cross multiply
    370,578x = 808,068 × 808,068
  4. Step 4: Simplify right side
    370,578x = 652,973,892,624
  5. Step 5: Solve for x
    x = 652,973,892,624/370,578
  6. Step 6: Final answer
    x = 1,762,041.71

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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.