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Finding the Third Proportional to 481,422 and 745,053

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Solution

The third proportional to 481,422 and 745,053 is: 1,153,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,422 : 745,053 = 745,053 : x
  2. Step 2: Convert to fraction form
    481,422/745,053 = 745,053/x
  3. Step 3: Cross multiply
    481,422x = 745,053 × 745,053
  4. Step 4: Simplify right side
    481,422x = 555,103,972,809
  5. Step 5: Solve for x
    x = 555,103,972,809/481,422
  6. Step 6: Final answer
    x = 1,153,050.70

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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.