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Finding the Third Proportional to 312,148.69 and 468,264.80

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Solution

The third proportional to 312,148.69 and 468,264.80 is: 702,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,148.69 : 468,264.80 = 468,264.80 : x
  2. Step 2: Convert to fraction form
    312,148.69/468,264.80 = 468,264.80/x
  3. Step 3: Cross multiply
    312,148.69x = 468,264.80 × 468,264.80
  4. Step 4: Simplify right side
    312,148.69x = 219,271,919,992.39
  5. Step 5: Solve for x
    x = 219,271,919,992.39/312,148.69
  6. Step 6: Final answer
    x = 702,459.85

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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.