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Finding the Third Proportional to 384,642.50 and 837,014

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Solution

The third proportional to 384,642.50 and 837,014 is: 1,821,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,642.50 : 837,014 = 837,014 : x
  2. Step 2: Convert to fraction form
    384,642.50/837,014 = 837,014/x
  3. Step 3: Cross multiply
    384,642.50x = 837,014 × 837,014
  4. Step 4: Simplify right side
    384,642.50x = 700,592,436,196
  5. Step 5: Solve for x
    x = 700,592,436,196/384,642.50
  6. Step 6: Final answer
    x = 1,821,411.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.