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Finding the Third Proportional to 310,978 and 653,289

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Solution

The third proportional to 310,978 and 653,289 is: 1,372,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,978 : 653,289 = 653,289 : x
  2. Step 2: Convert to fraction form
    310,978/653,289 = 653,289/x
  3. Step 3: Cross multiply
    310,978x = 653,289 × 653,289
  4. Step 4: Simplify right side
    310,978x = 426,786,517,521
  5. Step 5: Solve for x
    x = 426,786,517,521/310,978
  6. Step 6: Final answer
    x = 1,372,401.00

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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.