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Finding the Third Proportional to 476,847 and 668,398.50

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Solution

The third proportional to 476,847 and 668,398.50 is: 936,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,847 : 668,398.50 = 668,398.50 : x
  2. Step 2: Convert to fraction form
    476,847/668,398.50 = 668,398.50/x
  3. Step 3: Cross multiply
    476,847x = 668,398.50 × 668,398.50
  4. Step 4: Simplify right side
    476,847x = 446,756,554,802.25
  5. Step 5: Solve for x
    x = 446,756,554,802.25/476,847
  6. Step 6: Final answer
    x = 936,897.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.