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Finding the Third Proportional to 271,036.13 and 421,574.63

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Solution

The third proportional to 271,036.13 and 421,574.63 is: 655,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,036.13 : 421,574.63 = 421,574.63 : x
  2. Step 2: Convert to fraction form
    271,036.13/421,574.63 = 421,574.63/x
  3. Step 3: Cross multiply
    271,036.13x = 421,574.63 × 421,574.63
  4. Step 4: Simplify right side
    271,036.13x = 177,725,164,443.89
  5. Step 5: Solve for x
    x = 177,725,164,443.89/271,036.13
  6. Step 6: Final answer
    x = 655,725.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.