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Finding the Third Proportional to 409,236 and 631,350

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Solution

The third proportional to 409,236 and 631,350 is: 974,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,236 : 631,350 = 631,350 : x
  2. Step 2: Convert to fraction form
    409,236/631,350 = 631,350/x
  3. Step 3: Cross multiply
    409,236x = 631,350 × 631,350
  4. Step 4: Simplify right side
    409,236x = 398,602,822,500
  5. Step 5: Solve for x
    x = 398,602,822,500/409,236
  6. Step 6: Final answer
    x = 974,017.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.