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Finding the Third Proportional to 589,317.50 and 1,264,657

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Solution

The third proportional to 589,317.50 and 1,264,657 is: 2,713,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,317.50 : 1,264,657 = 1,264,657 : x
  2. Step 2: Convert to fraction form
    589,317.50/1,264,657 = 1,264,657/x
  3. Step 3: Cross multiply
    589,317.50x = 1,264,657 × 1,264,657
  4. Step 4: Simplify right side
    589,317.50x = 1,599,357,327,649
  5. Step 5: Solve for x
    x = 1,599,357,327,649/589,317.50
  6. Step 6: Final answer
    x = 2,713,914.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.