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Finding the Third Proportional to 519,553 and 777,243

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Solution

The third proportional to 519,553 and 777,243 is: 1,162,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,553 : 777,243 = 777,243 : x
  2. Step 2: Convert to fraction form
    519,553/777,243 = 777,243/x
  3. Step 3: Cross multiply
    519,553x = 777,243 × 777,243
  4. Step 4: Simplify right side
    519,553x = 604,106,681,049
  5. Step 5: Solve for x
    x = 604,106,681,049/519,553
  6. Step 6: Final answer
    x = 1,162,743.13

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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.