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Finding the Third Proportional to 490,010 and 737,865

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Solution

The third proportional to 490,010 and 737,865 is: 1,111,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,010 : 737,865 = 737,865 : x
  2. Step 2: Convert to fraction form
    490,010/737,865 = 737,865/x
  3. Step 3: Cross multiply
    490,010x = 737,865 × 737,865
  4. Step 4: Simplify right side
    490,010x = 544,444,758,225
  5. Step 5: Solve for x
    x = 544,444,758,225/490,010
  6. Step 6: Final answer
    x = 1,111,089.08

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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.