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Finding the Third Proportional to 373,640 and 524,291

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Solution

The third proportional to 373,640 and 524,291 is: 735,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,640 : 524,291 = 524,291 : x
  2. Step 2: Convert to fraction form
    373,640/524,291 = 524,291/x
  3. Step 3: Cross multiply
    373,640x = 524,291 × 524,291
  4. Step 4: Simplify right side
    373,640x = 274,881,052,681
  5. Step 5: Solve for x
    x = 274,881,052,681/373,640
  6. Step 6: Final answer
    x = 735,684.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.