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Finding the Third Proportional to 409,887 and 573,181.50

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Solution

The third proportional to 409,887 and 573,181.50 is: 801,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,887 : 573,181.50 = 573,181.50 : x
  2. Step 2: Convert to fraction form
    409,887/573,181.50 = 573,181.50/x
  3. Step 3: Cross multiply
    409,887x = 573,181.50 × 573,181.50
  4. Step 4: Simplify right side
    409,887x = 328,537,031,942.25
  5. Step 5: Solve for x
    x = 328,537,031,942.25/409,887
  6. Step 6: Final answer
    x = 801,530.74

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