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Finding the Third Proportional to 319,260 and 464,850

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Solution

The third proportional to 319,260 and 464,850 is: 676,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,260 : 464,850 = 464,850 : x
  2. Step 2: Convert to fraction form
    319,260/464,850 = 464,850/x
  3. Step 3: Cross multiply
    319,260x = 464,850 × 464,850
  4. Step 4: Simplify right side
    319,260x = 216,085,522,500
  5. Step 5: Solve for x
    x = 216,085,522,500/319,260
  6. Step 6: Final answer
    x = 676,832.43

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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.