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Finding the Third Proportional to 489,902 and 742,234

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Solution

The third proportional to 489,902 and 742,234 is: 1,124,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,902 : 742,234 = 742,234 : x
  2. Step 2: Convert to fraction form
    489,902/742,234 = 742,234/x
  3. Step 3: Cross multiply
    489,902x = 742,234 × 742,234
  4. Step 4: Simplify right side
    489,902x = 550,911,310,756
  5. Step 5: Solve for x
    x = 550,911,310,756/489,902
  6. Step 6: Final answer
    x = 1,124,533.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.