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Finding the Third Proportional to 342,680 and 742,564

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Solution

The third proportional to 342,680 and 742,564 is: 1,609,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,680 : 742,564 = 742,564 : x
  2. Step 2: Convert to fraction form
    342,680/742,564 = 742,564/x
  3. Step 3: Cross multiply
    342,680x = 742,564 × 742,564
  4. Step 4: Simplify right side
    342,680x = 551,401,294,096
  5. Step 5: Solve for x
    x = 551,401,294,096/342,680
  6. Step 6: Final answer
    x = 1,609,085.14

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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.