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Finding the Third Proportional to 576,290 and 845,751

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Solution

The third proportional to 576,290 and 845,751 is: 1,241,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,290 : 845,751 = 845,751 : x
  2. Step 2: Convert to fraction form
    576,290/845,751 = 845,751/x
  3. Step 3: Cross multiply
    576,290x = 845,751 × 845,751
  4. Step 4: Simplify right side
    576,290x = 715,294,754,001
  5. Step 5: Solve for x
    x = 715,294,754,001/576,290
  6. Step 6: Final answer
    x = 1,241,206.26

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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.