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Finding the Third Proportional to 373,455 and 565,823.25

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Solution

The third proportional to 373,455 and 565,823.25 is: 857,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,455 : 565,823.25 = 565,823.25 : x
  2. Step 2: Convert to fraction form
    373,455/565,823.25 = 565,823.25/x
  3. Step 3: Cross multiply
    373,455x = 565,823.25 × 565,823.25
  4. Step 4: Simplify right side
    373,455x = 320,155,950,240.56
  5. Step 5: Solve for x
    x = 320,155,950,240.56/373,455
  6. Step 6: Final answer
    x = 857,281.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.