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Finding the Third Proportional to 297,463.50 and 579,978

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Solution

The third proportional to 297,463.50 and 579,978 is: 1,130,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,463.50 : 579,978 = 579,978 : x
  2. Step 2: Convert to fraction form
    297,463.50/579,978 = 579,978/x
  3. Step 3: Cross multiply
    297,463.50x = 579,978 × 579,978
  4. Step 4: Simplify right side
    297,463.50x = 336,374,480,484
  5. Step 5: Solve for x
    x = 336,374,480,484/297,463.50
  6. Step 6: Final answer
    x = 1,130,809.26

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.