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Finding the Third Proportional to 371,040 and 755,037

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Solution

The third proportional to 371,040 and 755,037 is: 1,536,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,040 : 755,037 = 755,037 : x
  2. Step 2: Convert to fraction form
    371,040/755,037 = 755,037/x
  3. Step 3: Cross multiply
    371,040x = 755,037 × 755,037
  4. Step 4: Simplify right side
    371,040x = 570,080,871,369
  5. Step 5: Solve for x
    x = 570,080,871,369/371,040
  6. Step 6: Final answer
    x = 1,536,440.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.