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Finding the Third Proportional to 319,284.50 and 464,886.75

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Solution

The third proportional to 319,284.50 and 464,886.75 is: 676,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,284.50 : 464,886.75 = 464,886.75 : x
  2. Step 2: Convert to fraction form
    319,284.50/464,886.75 = 464,886.75/x
  3. Step 3: Cross multiply
    319,284.50x = 464,886.75 × 464,886.75
  4. Step 4: Simplify right side
    319,284.50x = 216,119,690,325.56
  5. Step 5: Solve for x
    x = 216,119,690,325.56/319,284.50
  6. Step 6: Final answer
    x = 676,887.51

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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.