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Finding the Third Proportional to 413,434.13 and 665,895.94

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Solution

The third proportional to 413,434.13 and 665,895.94 is: 1,072,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,434.13 : 665,895.94 = 665,895.94 : x
  2. Step 2: Convert to fraction form
    413,434.13/665,895.94 = 665,895.94/x
  3. Step 3: Cross multiply
    413,434.13x = 665,895.94 × 665,895.94
  4. Step 4: Simplify right side
    413,434.13x = 443,417,399,579.00
  5. Step 5: Solve for x
    x = 443,417,399,579.00/413,434.13
  6. Step 6: Final answer
    x = 1,072,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.