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Finding the Third Proportional to 374,412 and 775,320

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Solution

The third proportional to 374,412 and 775,320 is: 1,605,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,412 : 775,320 = 775,320 : x
  2. Step 2: Convert to fraction form
    374,412/775,320 = 775,320/x
  3. Step 3: Cross multiply
    374,412x = 775,320 × 775,320
  4. Step 4: Simplify right side
    374,412x = 601,121,102,400
  5. Step 5: Solve for x
    x = 601,121,102,400/374,412
  6. Step 6: Final answer
    x = 1,605,507.04

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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.