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Finding the Third Proportional to 468,830 and 722,699

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Solution

The third proportional to 468,830 and 722,699 is: 1,114,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,830 : 722,699 = 722,699 : x
  2. Step 2: Convert to fraction form
    468,830/722,699 = 722,699/x
  3. Step 3: Cross multiply
    468,830x = 722,699 × 722,699
  4. Step 4: Simplify right side
    468,830x = 522,293,844,601
  5. Step 5: Solve for x
    x = 522,293,844,601/468,830
  6. Step 6: Final answer
    x = 1,114,036.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.