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Finding the Third Proportional to 415,260.42 and 593,821.76

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Solution

The third proportional to 415,260.42 and 593,821.76 is: 849,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260.42 : 593,821.76 = 593,821.76 : x
  2. Step 2: Convert to fraction form
    415,260.42/593,821.76 = 593,821.76/x
  3. Step 3: Cross multiply
    415,260.42x = 593,821.76 × 593,821.76
  4. Step 4: Simplify right side
    415,260.42x = 352,624,280,051.53
  5. Step 5: Solve for x
    x = 352,624,280,051.53/415,260.42
  6. Step 6: Final answer
    x = 849,164.19

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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.