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Finding the Third Proportional to 341,343 and 748,293.75

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Solution

The third proportional to 341,343 and 748,293.75 is: 1,640,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,343 : 748,293.75 = 748,293.75 : x
  2. Step 2: Convert to fraction form
    341,343/748,293.75 = 748,293.75/x
  3. Step 3: Cross multiply
    341,343x = 748,293.75 × 748,293.75
  4. Step 4: Simplify right side
    341,343x = 559,943,536,289.06
  5. Step 5: Solve for x
    x = 559,943,536,289.06/341,343
  6. Step 6: Final answer
    x = 1,640,413.12

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