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Finding the Third Proportional to 319,074 and 464,763

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Solution

The third proportional to 319,074 and 464,763 is: 676,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,074 : 464,763 = 464,763 : x
  2. Step 2: Convert to fraction form
    319,074/464,763 = 464,763/x
  3. Step 3: Cross multiply
    319,074x = 464,763 × 464,763
  4. Step 4: Simplify right side
    319,074x = 216,004,646,169
  5. Step 5: Solve for x
    x = 216,004,646,169/319,074
  6. Step 6: Final answer
    x = 676,973.51

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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.