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Finding the Third Proportional to 415,441.13 and 594,037.13

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Solution

The third proportional to 415,441.13 and 594,037.13 is: 849,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,441.13 : 594,037.13 = 594,037.13 : x
  2. Step 2: Convert to fraction form
    415,441.13/594,037.13 = 594,037.13/x
  3. Step 3: Cross multiply
    415,441.13x = 594,037.13 × 594,037.13
  4. Step 4: Simplify right side
    415,441.13x = 352,880,105,878.27
  5. Step 5: Solve for x
    x = 352,880,105,878.27/415,441.13
  6. Step 6: Final answer
    x = 849,410.63

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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.