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Finding the Third Proportional to 342,398 and 695,164

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Solution

The third proportional to 342,398 and 695,164 is: 1,411,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,398 : 695,164 = 695,164 : x
  2. Step 2: Convert to fraction form
    342,398/695,164 = 695,164/x
  3. Step 3: Cross multiply
    342,398x = 695,164 × 695,164
  4. Step 4: Simplify right side
    342,398x = 483,252,986,896
  5. Step 5: Solve for x
    x = 483,252,986,896/342,398
  6. Step 6: Final answer
    x = 1,411,377.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.