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Finding the Third Proportional to 340,464 and 723,968

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Solution

The third proportional to 340,464 and 723,968 is: 1,539,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,464 : 723,968 = 723,968 : x
  2. Step 2: Convert to fraction form
    340,464/723,968 = 723,968/x
  3. Step 3: Cross multiply
    340,464x = 723,968 × 723,968
  4. Step 4: Simplify right side
    340,464x = 524,129,665,024
  5. Step 5: Solve for x
    x = 524,129,665,024/340,464
  6. Step 6: Final answer
    x = 1,539,456.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.