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Finding the Third Proportional to 295,822.13 and 439,176.94

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Solution

The third proportional to 295,822.13 and 439,176.94 is: 652,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,822.13 : 439,176.94 = 439,176.94 : x
  2. Step 2: Convert to fraction form
    295,822.13/439,176.94 = 439,176.94/x
  3. Step 3: Cross multiply
    295,822.13x = 439,176.94 × 439,176.94
  4. Step 4: Simplify right side
    295,822.13x = 192,876,382,431.88
  5. Step 5: Solve for x
    x = 192,876,382,431.88/295,822.13
  6. Step 6: Final answer
    x = 652,001.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.