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Finding the Third Proportional to 363,690 and 749,776.50

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Solution

The third proportional to 363,690 and 749,776.50 is: 1,545,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,690 : 749,776.50 = 749,776.50 : x
  2. Step 2: Convert to fraction form
    363,690/749,776.50 = 749,776.50/x
  3. Step 3: Cross multiply
    363,690x = 749,776.50 × 749,776.50
  4. Step 4: Simplify right side
    363,690x = 562,164,799,952.25
  5. Step 5: Solve for x
    x = 562,164,799,952.25/363,690
  6. Step 6: Final answer
    x = 1,545,725.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.