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Finding the Third Proportional to 758,450.25 and 1,657,297.13

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Solution

The third proportional to 758,450.25 and 1,657,297.13 is: 3,621,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,450.25 : 1,657,297.13 = 1,657,297.13 : x
  2. Step 2: Convert to fraction form
    758,450.25/1,657,297.13 = 1,657,297.13/x
  3. Step 3: Cross multiply
    758,450.25x = 1,657,297.13 × 1,657,297.13
  4. Step 4: Simplify right side
    758,450.25x = 2,746,633,760,533.27
  5. Step 5: Solve for x
    x = 2,746,633,760,533.27/758,450.25
  6. Step 6: Final answer
    x = 3,621,376.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.