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Finding the Third Proportional to 295,217 and 469,976.25

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Solution

The third proportional to 295,217 and 469,976.25 is: 748,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,217 : 469,976.25 = 469,976.25 : x
  2. Step 2: Convert to fraction form
    295,217/469,976.25 = 469,976.25/x
  3. Step 3: Cross multiply
    295,217x = 469,976.25 × 469,976.25
  4. Step 4: Simplify right side
    295,217x = 220,877,675,564.06
  5. Step 5: Solve for x
    x = 220,877,675,564.06/295,217
  6. Step 6: Final answer
    x = 748,187.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.