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Finding the Third Proportional to 300,007.13 and 653,940

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Solution

The third proportional to 300,007.13 and 653,940 is: 1,425,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,007.13 : 653,940 = 653,940 : x
  2. Step 2: Convert to fraction form
    300,007.13/653,940 = 653,940/x
  3. Step 3: Cross multiply
    300,007.13x = 653,940 × 653,940
  4. Step 4: Simplify right side
    300,007.13x = 427,637,523,600
  5. Step 5: Solve for x
    x = 427,637,523,600/300,007.13
  6. Step 6: Final answer
    x = 1,425,424.56

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