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Finding the Third Proportional to 573,380 and 801,966

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Solution

The third proportional to 573,380 and 801,966 is: 1,121,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,380 : 801,966 = 801,966 : x
  2. Step 2: Convert to fraction form
    573,380/801,966 = 801,966/x
  3. Step 3: Cross multiply
    573,380x = 801,966 × 801,966
  4. Step 4: Simplify right side
    573,380x = 643,149,465,156
  5. Step 5: Solve for x
    x = 643,149,465,156/573,380
  6. Step 6: Final answer
    x = 1,121,681.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.