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Finding the Third Proportional to 340,158 and 742,483.50

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Solution

The third proportional to 340,158 and 742,483.50 is: 1,620,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,158 : 742,483.50 = 742,483.50 : x
  2. Step 2: Convert to fraction form
    340,158/742,483.50 = 742,483.50/x
  3. Step 3: Cross multiply
    340,158x = 742,483.50 × 742,483.50
  4. Step 4: Simplify right side
    340,158x = 551,281,747,772.25
  5. Step 5: Solve for x
    x = 551,281,747,772.25/340,158
  6. Step 6: Final answer
    x = 1,620,663.77

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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.