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Finding the Third Proportional to 370,556 and 807,380

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Solution

The third proportional to 370,556 and 807,380 is: 1,759,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,556 : 807,380 = 807,380 : x
  2. Step 2: Convert to fraction form
    370,556/807,380 = 807,380/x
  3. Step 3: Cross multiply
    370,556x = 807,380 × 807,380
  4. Step 4: Simplify right side
    370,556x = 651,862,464,400
  5. Step 5: Solve for x
    x = 651,862,464,400/370,556
  6. Step 6: Final answer
    x = 1,759,146.97

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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.