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Finding the Third Proportional to 513,176.13 and 739,206

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Solution

The third proportional to 513,176.13 and 739,206 is: 1,064,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,176.13 : 739,206 = 739,206 : x
  2. Step 2: Convert to fraction form
    513,176.13/739,206 = 739,206/x
  3. Step 3: Cross multiply
    513,176.13x = 739,206 × 739,206
  4. Step 4: Simplify right side
    513,176.13x = 546,425,510,436
  5. Step 5: Solve for x
    x = 546,425,510,436/513,176.13
  6. Step 6: Final answer
    x = 1,064,791.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.