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Finding the Third Proportional to 402,261.50 and 837,895

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Solution

The third proportional to 402,261.50 and 837,895 is: 1,745,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,261.50 : 837,895 = 837,895 : x
  2. Step 2: Convert to fraction form
    402,261.50/837,895 = 837,895/x
  3. Step 3: Cross multiply
    402,261.50x = 837,895 × 837,895
  4. Step 4: Simplify right side
    402,261.50x = 702,068,031,025
  5. Step 5: Solve for x
    x = 702,068,031,025/402,261.50
  6. Step 6: Final answer
    x = 1,745,302.57

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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.