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Finding the Third Proportional to 234,011 and 456,358

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Solution

The third proportional to 234,011 and 456,358 is: 889,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,011 : 456,358 = 456,358 : x
  2. Step 2: Convert to fraction form
    234,011/456,358 = 456,358/x
  3. Step 3: Cross multiply
    234,011x = 456,358 × 456,358
  4. Step 4: Simplify right side
    234,011x = 208,262,624,164
  5. Step 5: Solve for x
    x = 208,262,624,164/234,011
  6. Step 6: Final answer
    x = 889,969.38

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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.