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Finding the Third Proportional to 234,011 and 552,222

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Solution

The third proportional to 234,011 and 552,222 is: 1,303,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,011 : 552,222 = 552,222 : x
  2. Step 2: Convert to fraction form
    234,011/552,222 = 552,222/x
  3. Step 3: Cross multiply
    234,011x = 552,222 × 552,222
  4. Step 4: Simplify right side
    234,011x = 304,949,137,284
  5. Step 5: Solve for x
    x = 304,949,137,284/234,011
  6. Step 6: Final answer
    x = 1,303,140.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.