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Finding the Third Proportional to 413,434.13 and 603,748.69

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Solution

The third proportional to 413,434.13 and 603,748.69 is: 881,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,434.13 : 603,748.69 = 603,748.69 : x
  2. Step 2: Convert to fraction form
    413,434.13/603,748.69 = 603,748.69/x
  3. Step 3: Cross multiply
    413,434.13x = 603,748.69 × 603,748.69
  4. Step 4: Simplify right side
    413,434.13x = 364,512,477,657.97
  5. Step 5: Solve for x
    x = 364,512,477,657.97/413,434.13
  6. Step 6: Final answer
    x = 881,670.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.