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Finding the Third Proportional to 247,362 and 503,362

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Solution

The third proportional to 247,362 and 503,362 is: 1,024,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,362 : 503,362 = 503,362 : x
  2. Step 2: Convert to fraction form
    247,362/503,362 = 503,362/x
  3. Step 3: Cross multiply
    247,362x = 503,362 × 503,362
  4. Step 4: Simplify right side
    247,362x = 253,373,303,044
  5. Step 5: Solve for x
    x = 253,373,303,044/247,362
  6. Step 6: Final answer
    x = 1,024,301.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.