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Finding the Third Proportional to 357,355 and 744,103

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Solution

The third proportional to 357,355 and 744,103 is: 1,549,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,355 : 744,103 = 744,103 : x
  2. Step 2: Convert to fraction form
    357,355/744,103 = 744,103/x
  3. Step 3: Cross multiply
    357,355x = 744,103 × 744,103
  4. Step 4: Simplify right side
    357,355x = 553,689,274,609
  5. Step 5: Solve for x
    x = 553,689,274,609/357,355
  6. Step 6: Final answer
    x = 1,549,409.62

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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.