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Finding the Third Proportional to 442,044 and 675,753

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Solution

The third proportional to 442,044 and 675,753 is: 1,033,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,044 : 675,753 = 675,753 : x
  2. Step 2: Convert to fraction form
    442,044/675,753 = 675,753/x
  3. Step 3: Cross multiply
    442,044x = 675,753 × 675,753
  4. Step 4: Simplify right side
    442,044x = 456,642,117,009
  5. Step 5: Solve for x
    x = 456,642,117,009/442,044
  6. Step 6: Final answer
    x = 1,033,024.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.