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Finding the Third Proportional to 442,827 and 621,373.50

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Solution

The third proportional to 442,827 and 621,373.50 is: 871,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,827 : 621,373.50 = 621,373.50 : x
  2. Step 2: Convert to fraction form
    442,827/621,373.50 = 621,373.50/x
  3. Step 3: Cross multiply
    442,827x = 621,373.50 × 621,373.50
  4. Step 4: Simplify right side
    442,827x = 386,105,026,502.25
  5. Step 5: Solve for x
    x = 386,105,026,502.25/442,827
  6. Step 6: Final answer
    x = 871,909.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.