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Finding the Third Proportional to 234,152 and 552,560

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Solution

The third proportional to 234,152 and 552,560 is: 1,303,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,152 : 552,560 = 552,560 : x
  2. Step 2: Convert to fraction form
    234,152/552,560 = 552,560/x
  3. Step 3: Cross multiply
    234,152x = 552,560 × 552,560
  4. Step 4: Simplify right side
    234,152x = 305,322,553,600
  5. Step 5: Solve for x
    x = 305,322,553,600/234,152
  6. Step 6: Final answer
    x = 1,303,950.23

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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.