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Finding the Third Proportional to 436,323 and 640,120.50

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Solution

The third proportional to 436,323 and 640,120.50 is: 939,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,323 : 640,120.50 = 640,120.50 : x
  2. Step 2: Convert to fraction form
    436,323/640,120.50 = 640,120.50/x
  3. Step 3: Cross multiply
    436,323x = 640,120.50 × 640,120.50
  4. Step 4: Simplify right side
    436,323x = 409,754,254,520.25
  5. Step 5: Solve for x
    x = 409,754,254,520.25/436,323
  6. Step 6: Final answer
    x = 939,107.62

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