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Finding the Third Proportional to 472,944 and 695,592

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Solution

The third proportional to 472,944 and 695,592 is: 1,023,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,944 : 695,592 = 695,592 : x
  2. Step 2: Convert to fraction form
    472,944/695,592 = 695,592/x
  3. Step 3: Cross multiply
    472,944x = 695,592 × 695,592
  4. Step 4: Simplify right side
    472,944x = 483,848,230,464
  5. Step 5: Solve for x
    x = 483,848,230,464/472,944
  6. Step 6: Final answer
    x = 1,023,056.07

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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.