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Finding the Third Proportional to 246,707 and 512,805.50

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Solution

The third proportional to 246,707 and 512,805.50 is: 1,065,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,707 : 512,805.50 = 512,805.50 : x
  2. Step 2: Convert to fraction form
    246,707/512,805.50 = 512,805.50/x
  3. Step 3: Cross multiply
    246,707x = 512,805.50 × 512,805.50
  4. Step 4: Simplify right side
    246,707x = 262,969,480,830.25
  5. Step 5: Solve for x
    x = 262,969,480,830.25/246,707
  6. Step 6: Final answer
    x = 1,065,918.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.