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Finding the Third Proportional to 467,974 and 724,011

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Solution

The third proportional to 467,974 and 724,011 is: 1,120,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,974 : 724,011 = 724,011 : x
  2. Step 2: Convert to fraction form
    467,974/724,011 = 724,011/x
  3. Step 3: Cross multiply
    467,974x = 724,011 × 724,011
  4. Step 4: Simplify right side
    467,974x = 524,191,928,121
  5. Step 5: Solve for x
    x = 524,191,928,121/467,974
  6. Step 6: Final answer
    x = 1,120,130.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.