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Finding the Third Proportional to 467,788 and 729,030

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Solution

The third proportional to 467,788 and 729,030 is: 1,136,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,788 : 729,030 = 729,030 : x
  2. Step 2: Convert to fraction form
    467,788/729,030 = 729,030/x
  3. Step 3: Cross multiply
    467,788x = 729,030 × 729,030
  4. Step 4: Simplify right side
    467,788x = 531,484,740,900
  5. Step 5: Solve for x
    x = 531,484,740,900/467,788
  6. Step 6: Final answer
    x = 1,136,165.83

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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.