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Finding the Third Proportional to 277,295.91 and 596,623.22

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Solution

The third proportional to 277,295.91 and 596,623.22 is: 1,283,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.91 : 596,623.22 = 596,623.22 : x
  2. Step 2: Convert to fraction form
    277,295.91/596,623.22 = 596,623.22/x
  3. Step 3: Cross multiply
    277,295.91x = 596,623.22 × 596,623.22
  4. Step 4: Simplify right side
    277,295.91x = 355,959,265,151.61
  5. Step 5: Solve for x
    x = 355,959,265,151.61/277,295.91
  6. Step 6: Final answer
    x = 1,283,680.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.