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Finding the Third Proportional to 315,951 and 695,946

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Solution

The third proportional to 315,951 and 695,946 is: 1,532,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,951 : 695,946 = 695,946 : x
  2. Step 2: Convert to fraction form
    315,951/695,946 = 695,946/x
  3. Step 3: Cross multiply
    315,951x = 695,946 × 695,946
  4. Step 4: Simplify right side
    315,951x = 484,340,834,916
  5. Step 5: Solve for x
    x = 484,340,834,916/315,951
  6. Step 6: Final answer
    x = 1,532,961.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.