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Finding the Third Proportional to 319,690 and 480,349.50

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Solution

The third proportional to 319,690 and 480,349.50 is: 721,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,690 : 480,349.50 = 480,349.50 : x
  2. Step 2: Convert to fraction form
    319,690/480,349.50 = 480,349.50/x
  3. Step 3: Cross multiply
    319,690x = 480,349.50 × 480,349.50
  4. Step 4: Simplify right side
    319,690x = 230,735,642,150.25
  5. Step 5: Solve for x
    x = 230,735,642,150.25/319,690
  6. Step 6: Final answer
    x = 721,748.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.