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Finding the Third Proportional to 234,078 and 508,011

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Solution

The third proportional to 234,078 and 508,011 is: 1,102,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,078 : 508,011 = 508,011 : x
  2. Step 2: Convert to fraction form
    234,078/508,011 = 508,011/x
  3. Step 3: Cross multiply
    234,078x = 508,011 × 508,011
  4. Step 4: Simplify right side
    234,078x = 258,075,176,121
  5. Step 5: Solve for x
    x = 258,075,176,121/234,078
  6. Step 6: Final answer
    x = 1,102,517.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.