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Finding the Third Proportional to 491,718 and 742,098

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Solution

The third proportional to 491,718 and 742,098 is: 1,119,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,718 : 742,098 = 742,098 : x
  2. Step 2: Convert to fraction form
    491,718/742,098 = 742,098/x
  3. Step 3: Cross multiply
    491,718x = 742,098 × 742,098
  4. Step 4: Simplify right side
    491,718x = 550,709,441,604
  5. Step 5: Solve for x
    x = 550,709,441,604/491,718
  6. Step 6: Final answer
    x = 1,119,970.07

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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.