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Finding the Third Proportional to 271,501.88 and 596,534.63

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Solution

The third proportional to 271,501.88 and 596,534.63 is: 1,310,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,501.88 : 596,534.63 = 596,534.63 : x
  2. Step 2: Convert to fraction form
    271,501.88/596,534.63 = 596,534.63/x
  3. Step 3: Cross multiply
    271,501.88x = 596,534.63 × 596,534.63
  4. Step 4: Simplify right side
    271,501.88x = 355,853,558,823.89
  5. Step 5: Solve for x
    x = 355,853,558,823.89/271,501.88
  6. Step 6: Final answer
    x = 1,310,685.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.