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Finding the Third Proportional to 493,156 and 742,569

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Solution

The third proportional to 493,156 and 742,569 is: 1,118,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,156 : 742,569 = 742,569 : x
  2. Step 2: Convert to fraction form
    493,156/742,569 = 742,569/x
  3. Step 3: Cross multiply
    493,156x = 742,569 × 742,569
  4. Step 4: Simplify right side
    493,156x = 551,408,719,761
  5. Step 5: Solve for x
    x = 551,408,719,761/493,156
  6. Step 6: Final answer
    x = 1,118,122.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.