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Finding the Third Proportional to 514,687.50 and 780,779.25

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Solution

The third proportional to 514,687.50 and 780,779.25 is: 1,184,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,687.50 : 780,779.25 = 780,779.25 : x
  2. Step 2: Convert to fraction form
    514,687.50/780,779.25 = 780,779.25/x
  3. Step 3: Cross multiply
    514,687.50x = 780,779.25 × 780,779.25
  4. Step 4: Simplify right side
    514,687.50x = 609,616,237,230.56
  5. Step 5: Solve for x
    x = 609,616,237,230.56/514,687.50
  6. Step 6: Final answer
    x = 1,184,439.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.