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Finding the Third Proportional to 472,956 and 695,604

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Solution

The third proportional to 472,956 and 695,604 is: 1,023,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,956 : 695,604 = 695,604 : x
  2. Step 2: Convert to fraction form
    472,956/695,604 = 695,604/x
  3. Step 3: Cross multiply
    472,956x = 695,604 × 695,604
  4. Step 4: Simplify right side
    472,956x = 483,864,924,816
  5. Step 5: Solve for x
    x = 483,864,924,816/472,956
  6. Step 6: Final answer
    x = 1,023,065.41

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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.