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Finding the Third Proportional to 340,079.50 and 508,342.50

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Solution

The third proportional to 340,079.50 and 508,342.50 is: 759,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,079.50 : 508,342.50 = 508,342.50 : x
  2. Step 2: Convert to fraction form
    340,079.50/508,342.50 = 508,342.50/x
  3. Step 3: Cross multiply
    340,079.50x = 508,342.50 × 508,342.50
  4. Step 4: Simplify right side
    340,079.50x = 258,412,097,306.25
  5. Step 5: Solve for x
    x = 258,412,097,306.25/340,079.50
  6. Step 6: Final answer
    x = 759,857.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.