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Finding the Third Proportional to 644,160 and 874,752

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Solution

The third proportional to 644,160 and 874,752 is: 1,187,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,160 : 874,752 = 874,752 : x
  2. Step 2: Convert to fraction form
    644,160/874,752 = 874,752/x
  3. Step 3: Cross multiply
    644,160x = 874,752 × 874,752
  4. Step 4: Simplify right side
    644,160x = 765,191,061,504
  5. Step 5: Solve for x
    x = 765,191,061,504/644,160
  6. Step 6: Final answer
    x = 1,187,889.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.