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Finding the Third Proportional to 576,318 and 845,792

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Solution

The third proportional to 576,318 and 845,792 is: 1,241,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,318 : 845,792 = 845,792 : x
  2. Step 2: Convert to fraction form
    576,318/845,792 = 845,792/x
  3. Step 3: Cross multiply
    576,318x = 845,792 × 845,792
  4. Step 4: Simplify right side
    576,318x = 715,364,107,264
  5. Step 5: Solve for x
    x = 715,364,107,264/576,318
  6. Step 6: Final answer
    x = 1,241,266.29

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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.