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Finding the Third Proportional to 319,028 and 464,694

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Solution

The third proportional to 319,028 and 464,694 is: 676,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,028 : 464,694 = 464,694 : x
  2. Step 2: Convert to fraction form
    319,028/464,694 = 464,694/x
  3. Step 3: Cross multiply
    319,028x = 464,694 × 464,694
  4. Step 4: Simplify right side
    319,028x = 215,940,513,636
  5. Step 5: Solve for x
    x = 215,940,513,636/319,028
  6. Step 6: Final answer
    x = 676,870.10

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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.