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Finding the Third Proportional to 337,074.75 and 722,126.81

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Solution

The third proportional to 337,074.75 and 722,126.81 is: 1,547,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,074.75 : 722,126.81 = 722,126.81 : x
  2. Step 2: Convert to fraction form
    337,074.75/722,126.81 = 722,126.81/x
  3. Step 3: Cross multiply
    337,074.75x = 722,126.81 × 722,126.81
  4. Step 4: Simplify right side
    337,074.75x = 521,467,133,331.41
  5. Step 5: Solve for x
    x = 521,467,133,331.41/337,074.75
  6. Step 6: Final answer
    x = 1,547,037.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.