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Finding the Third Proportional to 349,223,531.25 and 760,448,511.75

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Solution

The third proportional to 349,223,531.25 and 760,448,511.75 is: 1,655,907,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,223,531.25 : 760,448,511.75 = 760,448,511.75 : x
  2. Step 2: Convert to fraction form
    349,223,531.25/760,448,511.75 = 760,448,511.75/x
  3. Step 3: Cross multiply
    349,223,531.25x = 760,448,511.75 × 760,448,511.75
  4. Step 4: Simplify right side
    349,223,531.25x = 578,281,939,022,789,888
  5. Step 5: Solve for x
    x = 578,281,939,022,789,888/349,223,531.25
  6. Step 6: Final answer
    x = 1,655,907,713.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.