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Finding the Third Proportional to 277,521.19 and 597,871.13

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Solution

The third proportional to 277,521.19 and 597,871.13 is: 1,288,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,521.19 : 597,871.13 = 597,871.13 : x
  2. Step 2: Convert to fraction form
    277,521.19/597,871.13 = 597,871.13/x
  3. Step 3: Cross multiply
    277,521.19x = 597,871.13 × 597,871.13
  4. Step 4: Simplify right side
    277,521.19x = 357,449,882,108.77
  5. Step 5: Solve for x
    x = 357,449,882,108.77/277,521.19
  6. Step 6: Final answer
    x = 1,288,009.34

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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.