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Finding the Third Proportional to 490,072 and 735,308

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Solution

The third proportional to 490,072 and 735,308 is: 1,103,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,072 : 735,308 = 735,308 : x
  2. Step 2: Convert to fraction form
    490,072/735,308 = 735,308/x
  3. Step 3: Cross multiply
    490,072x = 735,308 × 735,308
  4. Step 4: Simplify right side
    490,072x = 540,677,854,864
  5. Step 5: Solve for x
    x = 540,677,854,864/490,072
  6. Step 6: Final answer
    x = 1,103,262.08

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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.