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Finding the Third Proportional to 340,022 and 742,252

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Solution

The third proportional to 340,022 and 742,252 is: 1,620,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,022 : 742,252 = 742,252 : x
  2. Step 2: Convert to fraction form
    340,022/742,252 = 742,252/x
  3. Step 3: Cross multiply
    340,022x = 742,252 × 742,252
  4. Step 4: Simplify right side
    340,022x = 550,938,031,504
  5. Step 5: Solve for x
    x = 550,938,031,504/340,022
  6. Step 6: Final answer
    x = 1,620,301.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.