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Finding the Third Proportional to 277,111.13 and 596,953.13

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Solution

The third proportional to 277,111.13 and 596,953.13 is: 1,285,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,111.13 : 596,953.13 = 596,953.13 : x
  2. Step 2: Convert to fraction form
    277,111.13/596,953.13 = 596,953.13/x
  3. Step 3: Cross multiply
    277,111.13x = 596,953.13 × 596,953.13
  4. Step 4: Simplify right side
    277,111.13x = 356,353,033,447.27
  5. Step 5: Solve for x
    x = 356,353,033,447.27/277,111.13
  6. Step 6: Final answer
    x = 1,285,957.15

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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.