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Finding the Third Proportional to 576,296 and 845,746

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Solution

The third proportional to 576,296 and 845,746 is: 1,241,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,296 : 845,746 = 845,746 : x
  2. Step 2: Convert to fraction form
    576,296/845,746 = 845,746/x
  3. Step 3: Cross multiply
    576,296x = 845,746 × 845,746
  4. Step 4: Simplify right side
    576,296x = 715,286,296,516
  5. Step 5: Solve for x
    x = 715,286,296,516/576,296
  6. Step 6: Final answer
    x = 1,241,178.66

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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.