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Finding the Third Proportional to 310,989.38 and 653,315.63

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Solution

The third proportional to 310,989.38 and 653,315.63 is: 1,372,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,989.38 : 653,315.63 = 653,315.63 : x
  2. Step 2: Convert to fraction form
    310,989.38/653,315.63 = 653,315.63/x
  3. Step 3: Cross multiply
    310,989.38x = 653,315.63 × 653,315.63
  4. Step 4: Simplify right side
    310,989.38x = 426,821,305,869.14
  5. Step 5: Solve for x
    x = 426,821,305,869.14/310,989.38
  6. Step 6: Final answer
    x = 1,372,462.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.