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Finding the Third Proportional to 402,327 and 837,715.50

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Solution

The third proportional to 402,327 and 837,715.50 is: 1,744,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,327 : 837,715.50 = 837,715.50 : x
  2. Step 2: Convert to fraction form
    402,327/837,715.50 = 837,715.50/x
  3. Step 3: Cross multiply
    402,327x = 837,715.50 × 837,715.50
  4. Step 4: Simplify right side
    402,327x = 701,767,258,940.25
  5. Step 5: Solve for x
    x = 701,767,258,940.25/402,327
  6. Step 6: Final answer
    x = 1,744,270.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.