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Finding the Third Proportional to 440,194.50 and 648,607.50

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Solution

The third proportional to 440,194.50 and 648,607.50 is: 955,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,194.50 : 648,607.50 = 648,607.50 : x
  2. Step 2: Convert to fraction form
    440,194.50/648,607.50 = 648,607.50/x
  3. Step 3: Cross multiply
    440,194.50x = 648,607.50 × 648,607.50
  4. Step 4: Simplify right side
    440,194.50x = 420,691,689,056.25
  5. Step 5: Solve for x
    x = 420,691,689,056.25/440,194.50
  6. Step 6: Final answer
    x = 955,695.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.