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Finding the Third Proportional to 467,784 and 729,024

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Solution

The third proportional to 467,784 and 729,024 is: 1,136,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,784 : 729,024 = 729,024 : x
  2. Step 2: Convert to fraction form
    467,784/729,024 = 729,024/x
  3. Step 3: Cross multiply
    467,784x = 729,024 × 729,024
  4. Step 4: Simplify right side
    467,784x = 531,475,992,576
  5. Step 5: Solve for x
    x = 531,475,992,576/467,784
  6. Step 6: Final answer
    x = 1,136,156.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.