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Finding the Third Proportional to 340,094.50 and 742,358.50

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Solution

The third proportional to 340,094.50 and 742,358.50 is: 1,620,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,094.50 : 742,358.50 = 742,358.50 : x
  2. Step 2: Convert to fraction form
    340,094.50/742,358.50 = 742,358.50/x
  3. Step 3: Cross multiply
    340,094.50x = 742,358.50 × 742,358.50
  4. Step 4: Simplify right side
    340,094.50x = 551,096,142,522.25
  5. Step 5: Solve for x
    x = 551,096,142,522.25/340,094.50
  6. Step 6: Final answer
    x = 1,620,420.63

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