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Finding the Third Proportional to 604,048 and 885,764

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Solution

The third proportional to 604,048 and 885,764 is: 1,298,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,048 : 885,764 = 885,764 : x
  2. Step 2: Convert to fraction form
    604,048/885,764 = 885,764/x
  3. Step 3: Cross multiply
    604,048x = 885,764 × 885,764
  4. Step 4: Simplify right side
    604,048x = 784,577,863,696
  5. Step 5: Solve for x
    x = 784,577,863,696/604,048
  6. Step 6: Final answer
    x = 1,298,866.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.