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Finding the Third Proportional to 251,131.64 and 592,709.91

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Solution

The third proportional to 251,131.64 and 592,709.91 is: 1,398,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,131.64 : 592,709.91 = 592,709.91 : x
  2. Step 2: Convert to fraction form
    251,131.64/592,709.91 = 592,709.91/x
  3. Step 3: Cross multiply
    251,131.64x = 592,709.91 × 592,709.91
  4. Step 4: Simplify right side
    251,131.64x = 351,305,032,966.88
  5. Step 5: Solve for x
    x = 351,305,032,966.88/251,131.64
  6. Step 6: Final answer
    x = 1,398,887.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.