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Finding the Third Proportional to 374,288 and 575,314

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Solution

The third proportional to 374,288 and 575,314 is: 884,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,288 : 575,314 = 575,314 : x
  2. Step 2: Convert to fraction form
    374,288/575,314 = 575,314/x
  3. Step 3: Cross multiply
    374,288x = 575,314 × 575,314
  4. Step 4: Simplify right side
    374,288x = 330,986,198,596
  5. Step 5: Solve for x
    x = 330,986,198,596/374,288
  6. Step 6: Final answer
    x = 884,308.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.