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Finding the Third Proportional to 340,072.50 and 742,314

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Solution

The third proportional to 340,072.50 and 742,314 is: 1,620,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,072.50 : 742,314 = 742,314 : x
  2. Step 2: Convert to fraction form
    340,072.50/742,314 = 742,314/x
  3. Step 3: Cross multiply
    340,072.50x = 742,314 × 742,314
  4. Step 4: Simplify right side
    340,072.50x = 551,030,074,596
  5. Step 5: Solve for x
    x = 551,030,074,596/340,072.50
  6. Step 6: Final answer
    x = 1,620,331.18

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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.