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Finding the Third Proportional to 300,636 and 652,572

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Solution

The third proportional to 300,636 and 652,572 is: 1,416,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,636 : 652,572 = 652,572 : x
  2. Step 2: Convert to fraction form
    300,636/652,572 = 652,572/x
  3. Step 3: Cross multiply
    300,636x = 652,572 × 652,572
  4. Step 4: Simplify right side
    300,636x = 425,850,215,184
  5. Step 5: Solve for x
    x = 425,850,215,184/300,636
  6. Step 6: Final answer
    x = 1,416,497.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.