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Finding the Third Proportional to 588,376 and 909,191

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Solution

The third proportional to 588,376 and 909,191 is: 1,404,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,376 : 909,191 = 909,191 : x
  2. Step 2: Convert to fraction form
    588,376/909,191 = 909,191/x
  3. Step 3: Cross multiply
    588,376x = 909,191 × 909,191
  4. Step 4: Simplify right side
    588,376x = 826,628,274,481
  5. Step 5: Solve for x
    x = 826,628,274,481/588,376
  6. Step 6: Final answer
    x = 1,404,932.01

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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.