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Finding the Third Proportional to 342,043 and 742,502

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Solution

The third proportional to 342,043 and 742,502 is: 1,611,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,043 : 742,502 = 742,502 : x
  2. Step 2: Convert to fraction form
    342,043/742,502 = 742,502/x
  3. Step 3: Cross multiply
    342,043x = 742,502 × 742,502
  4. Step 4: Simplify right side
    342,043x = 551,309,220,004
  5. Step 5: Solve for x
    x = 551,309,220,004/342,043
  6. Step 6: Final answer
    x = 1,611,812.61

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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.