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Finding the Third Proportional to 576,294 and 845,757

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Solution

The third proportional to 576,294 and 845,757 is: 1,241,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,294 : 845,757 = 845,757 : x
  2. Step 2: Convert to fraction form
    576,294/845,757 = 845,757/x
  3. Step 3: Cross multiply
    576,294x = 845,757 × 845,757
  4. Step 4: Simplify right side
    576,294x = 715,304,903,049
  5. Step 5: Solve for x
    x = 715,304,903,049/576,294
  6. Step 6: Final answer
    x = 1,241,215.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.