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Finding the Third Proportional to 319,292 and 464,898

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Solution

The third proportional to 319,292 and 464,898 is: 676,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,292 : 464,898 = 464,898 : x
  2. Step 2: Convert to fraction form
    319,292/464,898 = 464,898/x
  3. Step 3: Cross multiply
    319,292x = 464,898 × 464,898
  4. Step 4: Simplify right side
    319,292x = 216,130,150,404
  5. Step 5: Solve for x
    x = 216,130,150,404/319,292
  6. Step 6: Final answer
    x = 676,904.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.