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Finding the Third Proportional to 415,270.13 and 593,834.63

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Solution

The third proportional to 415,270.13 and 593,834.63 is: 849,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,270.13 : 593,834.63 = 593,834.63 : x
  2. Step 2: Convert to fraction form
    415,270.13/593,834.63 = 593,834.63/x
  3. Step 3: Cross multiply
    415,270.13x = 593,834.63 × 593,834.63
  4. Step 4: Simplify right side
    415,270.13x = 352,639,561,848.89
  5. Step 5: Solve for x
    x = 352,639,561,848.89/415,270.13
  6. Step 6: Final answer
    x = 849,181.15

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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.