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Finding the Third Proportional to 464,514.50 and 688,137

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Solution

The third proportional to 464,514.50 and 688,137 is: 1,019,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,514.50 : 688,137 = 688,137 : x
  2. Step 2: Convert to fraction form
    464,514.50/688,137 = 688,137/x
  3. Step 3: Cross multiply
    464,514.50x = 688,137 × 688,137
  4. Step 4: Simplify right side
    464,514.50x = 473,532,530,769
  5. Step 5: Solve for x
    x = 473,532,530,769/464,514.50
  6. Step 6: Final answer
    x = 1,019,413.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.