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Finding the Third Proportional to 265,005.84 and 580,478.91

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Solution

The third proportional to 265,005.84 and 580,478.91 is: 1,271,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,005.84 : 580,478.91 = 580,478.91 : x
  2. Step 2: Convert to fraction form
    265,005.84/580,478.91 = 580,478.91/x
  3. Step 3: Cross multiply
    265,005.84x = 580,478.91 × 580,478.91
  4. Step 4: Simplify right side
    265,005.84x = 336,955,760,601.20
  5. Step 5: Solve for x
    x = 336,955,760,601.20/265,005.84
  6. Step 6: Final answer
    x = 1,271,503.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.