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Finding the Third Proportional to 507,284 and 759,540

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Solution

The third proportional to 507,284 and 759,540 is: 1,137,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,284 : 759,540 = 759,540 : x
  2. Step 2: Convert to fraction form
    507,284/759,540 = 759,540/x
  3. Step 3: Cross multiply
    507,284x = 759,540 × 759,540
  4. Step 4: Simplify right side
    507,284x = 576,901,011,600
  5. Step 5: Solve for x
    x = 576,901,011,600/507,284
  6. Step 6: Final answer
    x = 1,137,234.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.