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Finding the Third Proportional to 490,392 and 736,082

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Solution

The third proportional to 490,392 and 736,082 is: 1,104,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,392 : 736,082 = 736,082 : x
  2. Step 2: Convert to fraction form
    490,392/736,082 = 736,082/x
  3. Step 3: Cross multiply
    490,392x = 736,082 × 736,082
  4. Step 4: Simplify right side
    490,392x = 541,816,710,724
  5. Step 5: Solve for x
    x = 541,816,710,724/490,392
  6. Step 6: Final answer
    x = 1,104,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.