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Finding the Third Proportional to 357,588 and 744,570

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Solution

The third proportional to 357,588 and 744,570 is: 1,550,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,588 : 744,570 = 744,570 : x
  2. Step 2: Convert to fraction form
    357,588/744,570 = 744,570/x
  3. Step 3: Cross multiply
    357,588x = 744,570 × 744,570
  4. Step 4: Simplify right side
    357,588x = 554,384,484,900
  5. Step 5: Solve for x
    x = 554,384,484,900/357,588
  6. Step 6: Final answer
    x = 1,550,344.21

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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.