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Finding the Third Proportional to 295,328 and 644,791

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Solution

The third proportional to 295,328 and 644,791 is: 1,407,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,328 : 644,791 = 644,791 : x
  2. Step 2: Convert to fraction form
    295,328/644,791 = 644,791/x
  3. Step 3: Cross multiply
    295,328x = 644,791 × 644,791
  4. Step 4: Simplify right side
    295,328x = 415,755,433,681
  5. Step 5: Solve for x
    x = 415,755,433,681/295,328
  6. Step 6: Final answer
    x = 1,407,775.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.