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Finding the Third Proportional to 472,980 and 695,638

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Solution

The third proportional to 472,980 and 695,638 is: 1,023,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,980 : 695,638 = 695,638 : x
  2. Step 2: Convert to fraction form
    472,980/695,638 = 695,638/x
  3. Step 3: Cross multiply
    472,980x = 695,638 × 695,638
  4. Step 4: Simplify right side
    472,980x = 483,912,227,044
  5. Step 5: Solve for x
    x = 483,912,227,044/472,980
  6. Step 6: Final answer
    x = 1,023,113.51

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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.