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Finding the Third Proportional to 341,212 and 734,264

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Solution

The third proportional to 341,212 and 734,264 is: 1,580,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,212 : 734,264 = 734,264 : x
  2. Step 2: Convert to fraction form
    341,212/734,264 = 734,264/x
  3. Step 3: Cross multiply
    341,212x = 734,264 × 734,264
  4. Step 4: Simplify right side
    341,212x = 539,143,621,696
  5. Step 5: Solve for x
    x = 539,143,621,696/341,212
  6. Step 6: Final answer
    x = 1,580,084.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.