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Finding the Third Proportional to 415,263.38 and 593,822.25

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Solution

The third proportional to 415,263.38 and 593,822.25 is: 849,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,263.38 : 593,822.25 = 593,822.25 : x
  2. Step 2: Convert to fraction form
    415,263.38/593,822.25 = 593,822.25/x
  3. Step 3: Cross multiply
    415,263.38x = 593,822.25 × 593,822.25
  4. Step 4: Simplify right side
    415,263.38x = 352,624,864,595.06
  5. Step 5: Solve for x
    x = 352,624,864,595.06/415,263.38
  6. Step 6: Final answer
    x = 849,159.56

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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.