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Finding the Third Proportional to 348,624 and 736,416

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Solution

The third proportional to 348,624 and 736,416 is: 1,555,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,624 : 736,416 = 736,416 : x
  2. Step 2: Convert to fraction form
    348,624/736,416 = 736,416/x
  3. Step 3: Cross multiply
    348,624x = 736,416 × 736,416
  4. Step 4: Simplify right side
    348,624x = 542,308,525,056
  5. Step 5: Solve for x
    x = 542,308,525,056/348,624
  6. Step 6: Final answer
    x = 1,555,568.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.