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Finding the Third Proportional to 343,683 and 754,609

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Solution

The third proportional to 343,683 and 754,609 is: 1,656,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,683 : 754,609 = 754,609 : x
  2. Step 2: Convert to fraction form
    343,683/754,609 = 754,609/x
  3. Step 3: Cross multiply
    343,683x = 754,609 × 754,609
  4. Step 4: Simplify right side
    343,683x = 569,434,742,881
  5. Step 5: Solve for x
    x = 569,434,742,881/343,683
  6. Step 6: Final answer
    x = 1,656,860.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.