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Finding the Third Proportional to 576,298 and 845,749

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Solution

The third proportional to 576,298 and 845,749 is: 1,241,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,298 : 845,749 = 845,749 : x
  2. Step 2: Convert to fraction form
    576,298/845,749 = 845,749/x
  3. Step 3: Cross multiply
    576,298x = 845,749 × 845,749
  4. Step 4: Simplify right side
    576,298x = 715,291,371,001
  5. Step 5: Solve for x
    x = 715,291,371,001/576,298
  6. Step 6: Final answer
    x = 1,241,183.16

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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.