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Finding the Third Proportional to 372,977.47 and 562,580.12

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Solution

The third proportional to 372,977.47 and 562,580.12 is: 848,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,977.47 : 562,580.12 = 562,580.12 : x
  2. Step 2: Convert to fraction form
    372,977.47/562,580.12 = 562,580.12/x
  3. Step 3: Cross multiply
    372,977.47x = 562,580.12 × 562,580.12
  4. Step 4: Simplify right side
    372,977.47x = 316,496,392,649.86
  5. Step 5: Solve for x
    x = 316,496,392,649.86/372,977.47
  6. Step 6: Final answer
    x = 848,567.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.