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Finding the Third Proportional to 478,968 and 798,247.50

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Solution

The third proportional to 478,968 and 798,247.50 is: 1,330,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,968 : 798,247.50 = 798,247.50 : x
  2. Step 2: Convert to fraction form
    478,968/798,247.50 = 798,247.50/x
  3. Step 3: Cross multiply
    478,968x = 798,247.50 × 798,247.50
  4. Step 4: Simplify right side
    478,968x = 637,199,071,256.25
  5. Step 5: Solve for x
    x = 637,199,071,256.25/478,968
  6. Step 6: Final answer
    x = 1,330,358.34

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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.