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Finding the Third Proportional to 319,056 and 464,736

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Solution

The third proportional to 319,056 and 464,736 is: 676,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,056 : 464,736 = 464,736 : x
  2. Step 2: Convert to fraction form
    319,056/464,736 = 464,736/x
  3. Step 3: Cross multiply
    319,056x = 464,736 × 464,736
  4. Step 4: Simplify right side
    319,056x = 215,979,549,696
  5. Step 5: Solve for x
    x = 215,979,549,696/319,056
  6. Step 6: Final answer
    x = 676,933.05

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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.