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Finding the Third Proportional to 357,624 and 744,636

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Solution

The third proportional to 357,624 and 744,636 is: 1,550,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,624 : 744,636 = 744,636 : x
  2. Step 2: Convert to fraction form
    357,624/744,636 = 744,636/x
  3. Step 3: Cross multiply
    357,624x = 744,636 × 744,636
  4. Step 4: Simplify right side
    357,624x = 554,482,772,496
  5. Step 5: Solve for x
    x = 554,482,772,496/357,624
  6. Step 6: Final answer
    x = 1,550,462.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.