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Finding the Third Proportional to 490,008 and 737,862

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Solution

The third proportional to 490,008 and 737,862 is: 1,111,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,008 : 737,862 = 737,862 : x
  2. Step 2: Convert to fraction form
    490,008/737,862 = 737,862/x
  3. Step 3: Cross multiply
    490,008x = 737,862 × 737,862
  4. Step 4: Simplify right side
    490,008x = 544,440,331,044
  5. Step 5: Solve for x
    x = 544,440,331,044/490,008
  6. Step 6: Final answer
    x = 1,111,084.58

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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.