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Finding the Third Proportional to 433,146 and 666,624

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Solution

The third proportional to 433,146 and 666,624 is: 1,025,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,146 : 666,624 = 666,624 : x
  2. Step 2: Convert to fraction form
    433,146/666,624 = 666,624/x
  3. Step 3: Cross multiply
    433,146x = 666,624 × 666,624
  4. Step 4: Simplify right side
    433,146x = 444,387,557,376
  5. Step 5: Solve for x
    x = 444,387,557,376/433,146
  6. Step 6: Final answer
    x = 1,025,953.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.