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Finding the Third Proportional to 272,752.31 and 579,980.25

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Solution

The third proportional to 272,752.31 and 579,980.25 is: 1,233,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,752.31 : 579,980.25 = 579,980.25 : x
  2. Step 2: Convert to fraction form
    272,752.31/579,980.25 = 579,980.25/x
  3. Step 3: Cross multiply
    272,752.31x = 579,980.25 × 579,980.25
  4. Step 4: Simplify right side
    272,752.31x = 336,377,090,390.06
  5. Step 5: Solve for x
    x = 336,377,090,390.06/272,752.31
  6. Step 6: Final answer
    x = 1,233,269.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.