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Finding the Third Proportional to 296,336 and 458,976

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Solution

The third proportional to 296,336 and 458,976 is: 710,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,336 : 458,976 = 458,976 : x
  2. Step 2: Convert to fraction form
    296,336/458,976 = 458,976/x
  3. Step 3: Cross multiply
    296,336x = 458,976 × 458,976
  4. Step 4: Simplify right side
    296,336x = 210,658,968,576
  5. Step 5: Solve for x
    x = 210,658,968,576/296,336
  6. Step 6: Final answer
    x = 710,878.76

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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.