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Finding the Third Proportional to 373,835 and 587,537

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Solution

The third proportional to 373,835 and 587,537 is: 923,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,835 : 587,537 = 587,537 : x
  2. Step 2: Convert to fraction form
    373,835/587,537 = 587,537/x
  3. Step 3: Cross multiply
    373,835x = 587,537 × 587,537
  4. Step 4: Simplify right side
    373,835x = 345,199,726,369
  5. Step 5: Solve for x
    x = 345,199,726,369/373,835
  6. Step 6: Final answer
    x = 923,401.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.