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Finding the Third Proportional to 464,868 and 717,805.50

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Solution

The third proportional to 464,868 and 717,805.50 is: 1,108,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,868 : 717,805.50 = 717,805.50 : x
  2. Step 2: Convert to fraction form
    464,868/717,805.50 = 717,805.50/x
  3. Step 3: Cross multiply
    464,868x = 717,805.50 × 717,805.50
  4. Step 4: Simplify right side
    464,868x = 515,244,735,830.25
  5. Step 5: Solve for x
    x = 515,244,735,830.25/464,868
  6. Step 6: Final answer
    x = 1,108,367.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.