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Finding the Third Proportional to 478,953 and 665,941.50

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Solution

The third proportional to 478,953 and 665,941.50 is: 925,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,953 : 665,941.50 = 665,941.50 : x
  2. Step 2: Convert to fraction form
    478,953/665,941.50 = 665,941.50/x
  3. Step 3: Cross multiply
    478,953x = 665,941.50 × 665,941.50
  4. Step 4: Simplify right side
    478,953x = 443,478,081,422.25
  5. Step 5: Solve for x
    x = 443,478,081,422.25/478,953
  6. Step 6: Final answer
    x = 925,932.36

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.