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Finding the Third Proportional to 246,040 and 538,034

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Solution

The third proportional to 246,040 and 538,034 is: 1,176,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,040 : 538,034 = 538,034 : x
  2. Step 2: Convert to fraction form
    246,040/538,034 = 538,034/x
  3. Step 3: Cross multiply
    246,040x = 538,034 × 538,034
  4. Step 4: Simplify right side
    246,040x = 289,480,585,156
  5. Step 5: Solve for x
    x = 289,480,585,156/246,040
  6. Step 6: Final answer
    x = 1,176,559.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.