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Finding the Third Proportional to 400,520 and 619,953

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Solution

The third proportional to 400,520 and 619,953 is: 959,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,520 : 619,953 = 619,953 : x
  2. Step 2: Convert to fraction form
    400,520/619,953 = 619,953/x
  3. Step 3: Cross multiply
    400,520x = 619,953 × 619,953
  4. Step 4: Simplify right side
    400,520x = 384,341,722,209
  5. Step 5: Solve for x
    x = 384,341,722,209/400,520
  6. Step 6: Final answer
    x = 959,606.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.