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Finding the Third Proportional to 317,567.50 and 493,847.50

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Solution

The third proportional to 317,567.50 and 493,847.50 is: 767,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,567.50 : 493,847.50 = 493,847.50 : x
  2. Step 2: Convert to fraction form
    317,567.50/493,847.50 = 493,847.50/x
  3. Step 3: Cross multiply
    317,567.50x = 493,847.50 × 493,847.50
  4. Step 4: Simplify right side
    317,567.50x = 243,885,353,256.25
  5. Step 5: Solve for x
    x = 243,885,353,256.25/317,567.50
  6. Step 6: Final answer
    x = 767,979.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.