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Finding the Third Proportional to 491,706 and 742,082

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Solution

The third proportional to 491,706 and 742,082 is: 1,119,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,706 : 742,082 = 742,082 : x
  2. Step 2: Convert to fraction form
    491,706/742,082 = 742,082/x
  3. Step 3: Cross multiply
    491,706x = 742,082 × 742,082
  4. Step 4: Simplify right side
    491,706x = 550,685,694,724
  5. Step 5: Solve for x
    x = 550,685,694,724/491,706
  6. Step 6: Final answer
    x = 1,119,949.11

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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.