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Finding the Third Proportional to 370,008 and 766,272

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Solution

The third proportional to 370,008 and 766,272 is: 1,586,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,008 : 766,272 = 766,272 : x
  2. Step 2: Convert to fraction form
    370,008/766,272 = 766,272/x
  3. Step 3: Cross multiply
    370,008x = 766,272 × 766,272
  4. Step 4: Simplify right side
    370,008x = 587,172,777,984
  5. Step 5: Solve for x
    x = 587,172,777,984/370,008
  6. Step 6: Final answer
    x = 1,586,919.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.