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Finding the Third Proportional to 297,973.13 and 646,741.13

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Solution

The third proportional to 297,973.13 and 646,741.13 is: 1,403,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,973.13 : 646,741.13 = 646,741.13 : x
  2. Step 2: Convert to fraction form
    297,973.13/646,741.13 = 646,741.13/x
  3. Step 3: Cross multiply
    297,973.13x = 646,741.13 × 646,741.13
  4. Step 4: Simplify right side
    297,973.13x = 418,274,082,766.27
  5. Step 5: Solve for x
    x = 418,274,082,766.27/297,973.13
  6. Step 6: Final answer
    x = 1,403,730.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.