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Finding the Third Proportional to 372,343 and 575,364

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Solution

The third proportional to 372,343 and 575,364 is: 889,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,343 : 575,364 = 575,364 : x
  2. Step 2: Convert to fraction form
    372,343/575,364 = 575,364/x
  3. Step 3: Cross multiply
    372,343x = 575,364 × 575,364
  4. Step 4: Simplify right side
    372,343x = 331,043,732,496
  5. Step 5: Solve for x
    x = 331,043,732,496/372,343
  6. Step 6: Final answer
    x = 889,082.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.