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Finding the Third Proportional to 363,538.13 and 776,560.50

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Solution

The third proportional to 363,538.13 and 776,560.50 is: 1,658,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,538.13 : 776,560.50 = 776,560.50 : x
  2. Step 2: Convert to fraction form
    363,538.13/776,560.50 = 776,560.50/x
  3. Step 3: Cross multiply
    363,538.13x = 776,560.50 × 776,560.50
  4. Step 4: Simplify right side
    363,538.13x = 603,046,210,160.25
  5. Step 5: Solve for x
    x = 603,046,210,160.25/363,538.13
  6. Step 6: Final answer
    x = 1,658,825.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.