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Finding the Third Proportional to 319,257 and 500,917.50

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Solution

The third proportional to 319,257 and 500,917.50 is: 785,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,257 : 500,917.50 = 500,917.50 : x
  2. Step 2: Convert to fraction form
    319,257/500,917.50 = 500,917.50/x
  3. Step 3: Cross multiply
    319,257x = 500,917.50 × 500,917.50
  4. Step 4: Simplify right side
    319,257x = 250,918,341,806.25
  5. Step 5: Solve for x
    x = 250,918,341,806.25/319,257
  6. Step 6: Final answer
    x = 785,944.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.