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Finding the Third Proportional to 225,491 and 524,363

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Solution

The third proportional to 225,491 and 524,363 is: 1,219,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,491 : 524,363 = 524,363 : x
  2. Step 2: Convert to fraction form
    225,491/524,363 = 524,363/x
  3. Step 3: Cross multiply
    225,491x = 524,363 × 524,363
  4. Step 4: Simplify right side
    225,491x = 274,956,555,769
  5. Step 5: Solve for x
    x = 274,956,555,769/225,491
  6. Step 6: Final answer
    x = 1,219,368.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.