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Finding the Third Proportional to 341,374.50 and 742,923

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Solution

The third proportional to 341,374.50 and 742,923 is: 1,616,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,374.50 : 742,923 = 742,923 : x
  2. Step 2: Convert to fraction form
    341,374.50/742,923 = 742,923/x
  3. Step 3: Cross multiply
    341,374.50x = 742,923 × 742,923
  4. Step 4: Simplify right side
    341,374.50x = 551,934,583,929
  5. Step 5: Solve for x
    x = 551,934,583,929/341,374.50
  6. Step 6: Final answer
    x = 1,616,800.86

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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.