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Finding the Third Proportional to 467,052 and 722,448

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Solution

The third proportional to 467,052 and 722,448 is: 1,117,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,052 : 722,448 = 722,448 : x
  2. Step 2: Convert to fraction form
    467,052/722,448 = 722,448/x
  3. Step 3: Cross multiply
    467,052x = 722,448 × 722,448
  4. Step 4: Simplify right side
    467,052x = 521,931,112,704
  5. Step 5: Solve for x
    x = 521,931,112,704/467,052
  6. Step 6: Final answer
    x = 1,117,501.08

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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.