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Finding the Third Proportional to 543,186 and 798,130

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Solution

The third proportional to 543,186 and 798,130 is: 1,172,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,186 : 798,130 = 798,130 : x
  2. Step 2: Convert to fraction form
    543,186/798,130 = 798,130/x
  3. Step 3: Cross multiply
    543,186x = 798,130 × 798,130
  4. Step 4: Simplify right side
    543,186x = 637,011,496,900
  5. Step 5: Solve for x
    x = 637,011,496,900/543,186
  6. Step 6: Final answer
    x = 1,172,731.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.