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Finding the Third Proportional to 319,248 and 464,832

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Solution

The third proportional to 319,248 and 464,832 is: 676,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,248 : 464,832 = 464,832 : x
  2. Step 2: Convert to fraction form
    319,248/464,832 = 464,832/x
  3. Step 3: Cross multiply
    319,248x = 464,832 × 464,832
  4. Step 4: Simplify right side
    319,248x = 216,068,788,224
  5. Step 5: Solve for x
    x = 216,068,788,224/319,248
  6. Step 6: Final answer
    x = 676,805.46

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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.