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Finding the Third Proportional to 371,568 and 802,752

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Solution

The third proportional to 371,568 and 802,752 is: 1,734,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,568 : 802,752 = 802,752 : x
  2. Step 2: Convert to fraction form
    371,568/802,752 = 802,752/x
  3. Step 3: Cross multiply
    371,568x = 802,752 × 802,752
  4. Step 4: Simplify right side
    371,568x = 644,410,773,504
  5. Step 5: Solve for x
    x = 644,410,773,504/371,568
  6. Step 6: Final answer
    x = 1,734,301.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.