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Finding the Third Proportional to 467,028 and 724,614

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Solution

The third proportional to 467,028 and 724,614 is: 1,124,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,028 : 724,614 = 724,614 : x
  2. Step 2: Convert to fraction form
    467,028/724,614 = 724,614/x
  3. Step 3: Cross multiply
    467,028x = 724,614 × 724,614
  4. Step 4: Simplify right side
    467,028x = 525,065,448,996
  5. Step 5: Solve for x
    x = 525,065,448,996/467,028
  6. Step 6: Final answer
    x = 1,124,269.74

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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.