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Finding the Third Proportional to 478,963.13 and 798,239.88

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Solution

The third proportional to 478,963.13 and 798,239.88 is: 1,330,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,963.13 : 798,239.88 = 798,239.88 : x
  2. Step 2: Convert to fraction form
    478,963.13/798,239.88 = 798,239.88/x
  3. Step 3: Cross multiply
    478,963.13x = 798,239.88 × 798,239.88
  4. Step 4: Simplify right side
    478,963.13x = 637,186,898,040.02
  5. Step 5: Solve for x
    x = 637,186,898,040.02/478,963.13
  6. Step 6: Final answer
    x = 1,330,346.46

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.