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Finding the Third Proportional to 415,287 and 593,861.63

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Solution

The third proportional to 415,287 and 593,861.63 is: 849,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,287 : 593,861.63 = 593,861.63 : x
  2. Step 2: Convert to fraction form
    415,287/593,861.63 = 593,861.63/x
  3. Step 3: Cross multiply
    415,287x = 593,861.63 × 593,861.63
  4. Step 4: Simplify right side
    415,287x = 352,671,629,647.64
  5. Step 5: Solve for x
    x = 352,671,629,647.64/415,287
  6. Step 6: Final answer
    x = 849,223.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.