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Finding the Third Proportional to 234,010 and 456,356

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Solution

The third proportional to 234,010 and 456,356 is: 889,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,010 : 456,356 = 456,356 : x
  2. Step 2: Convert to fraction form
    234,010/456,356 = 456,356/x
  3. Step 3: Cross multiply
    234,010x = 456,356 × 456,356
  4. Step 4: Simplify right side
    234,010x = 208,260,798,736
  5. Step 5: Solve for x
    x = 208,260,798,736/234,010
  6. Step 6: Final answer
    x = 889,965.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.