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Finding the Third Proportional to 341,520.75 and 742,089.38

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Solution

The third proportional to 341,520.75 and 742,089.38 is: 1,612,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,520.75 : 742,089.38 = 742,089.38 : x
  2. Step 2: Convert to fraction form
    341,520.75/742,089.38 = 742,089.38/x
  3. Step 3: Cross multiply
    341,520.75x = 742,089.38 × 742,089.38
  4. Step 4: Simplify right side
    341,520.75x = 550,696,640,487.89
  5. Step 5: Solve for x
    x = 550,696,640,487.89/341,520.75
  6. Step 6: Final answer
    x = 1,612,483.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.