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Finding the Third Proportional to 357,600 and 744,594

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Solution

The third proportional to 357,600 and 744,594 is: 1,550,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,600 : 744,594 = 744,594 : x
  2. Step 2: Convert to fraction form
    357,600/744,594 = 744,594/x
  3. Step 3: Cross multiply
    357,600x = 744,594 × 744,594
  4. Step 4: Simplify right side
    357,600x = 554,420,224,836
  5. Step 5: Solve for x
    x = 554,420,224,836/357,600
  6. Step 6: Final answer
    x = 1,550,392.13

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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.