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Finding the Third Proportional to 234,014 and 456,362

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Solution

The third proportional to 234,014 and 456,362 is: 889,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,014 : 456,362 = 456,362 : x
  2. Step 2: Convert to fraction form
    234,014/456,362 = 456,362/x
  3. Step 3: Cross multiply
    234,014x = 456,362 × 456,362
  4. Step 4: Simplify right side
    234,014x = 208,266,275,044
  5. Step 5: Solve for x
    x = 208,266,275,044/234,014
  6. Step 6: Final answer
    x = 889,973.57

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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.