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Finding the Third Proportional to 295,914.94 and 647,200.13

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Solution

The third proportional to 295,914.94 and 647,200.13 is: 1,415,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,914.94 : 647,200.13 = 647,200.13 : x
  2. Step 2: Convert to fraction form
    295,914.94/647,200.13 = 647,200.13/x
  3. Step 3: Cross multiply
    295,914.94x = 647,200.13 × 647,200.13
  4. Step 4: Simplify right side
    295,914.94x = 418,868,001,800.02
  5. Step 5: Solve for x
    x = 418,868,001,800.02/295,914.94
  6. Step 6: Final answer
    x = 1,415,501.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.