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Finding the Third Proportional to 411,931.50 and 890,487

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Solution

The third proportional to 411,931.50 and 890,487 is: 1,924,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,931.50 : 890,487 = 890,487 : x
  2. Step 2: Convert to fraction form
    411,931.50/890,487 = 890,487/x
  3. Step 3: Cross multiply
    411,931.50x = 890,487 × 890,487
  4. Step 4: Simplify right side
    411,931.50x = 792,967,097,169
  5. Step 5: Solve for x
    x = 792,967,097,169/411,931.50
  6. Step 6: Final answer
    x = 1,924,997.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.