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Finding the Third Proportional to 599,286 and 1,287,508.50

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Solution

The third proportional to 599,286 and 1,287,508.50 is: 2,766,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,286 : 1,287,508.50 = 1,287,508.50 : x
  2. Step 2: Convert to fraction form
    599,286/1,287,508.50 = 1,287,508.50/x
  3. Step 3: Cross multiply
    599,286x = 1,287,508.50 × 1,287,508.50
  4. Step 4: Simplify right side
    599,286x = 1,657,678,137,572.25
  5. Step 5: Solve for x
    x = 1,657,678,137,572.25/599,286
  6. Step 6: Final answer
    x = 2,766,088.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.