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Finding the Third Proportional to 322,989.75 and 495,784.13

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Solution

The third proportional to 322,989.75 and 495,784.13 is: 761,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,989.75 : 495,784.13 = 495,784.13 : x
  2. Step 2: Convert to fraction form
    322,989.75/495,784.13 = 495,784.13/x
  3. Step 3: Cross multiply
    322,989.75x = 495,784.13 × 495,784.13
  4. Step 4: Simplify right side
    322,989.75x = 245,801,898,602.02
  5. Step 5: Solve for x
    x = 245,801,898,602.02/322,989.75
  6. Step 6: Final answer
    x = 761,020.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.