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Finding the Third Proportional to 342,784 and 742,769

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Solution

The third proportional to 342,784 and 742,769 is: 1,609,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,784 : 742,769 = 742,769 : x
  2. Step 2: Convert to fraction form
    342,784/742,769 = 742,769/x
  3. Step 3: Cross multiply
    342,784x = 742,769 × 742,769
  4. Step 4: Simplify right side
    342,784x = 551,705,787,361
  5. Step 5: Solve for x
    x = 551,705,787,361/342,784
  6. Step 6: Final answer
    x = 1,609,485.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.