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Finding the Third Proportional to 456,192 and 666,432

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Solution

The third proportional to 456,192 and 666,432 is: 973,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,192 : 666,432 = 666,432 : x
  2. Step 2: Convert to fraction form
    456,192/666,432 = 666,432/x
  3. Step 3: Cross multiply
    456,192x = 666,432 × 666,432
  4. Step 4: Simplify right side
    456,192x = 444,131,610,624
  5. Step 5: Solve for x
    x = 444,131,610,624/456,192
  6. Step 6: Final answer
    x = 973,562.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.