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Finding the Third Proportional to 420,120.50 and 630,487.50

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Solution

The third proportional to 420,120.50 and 630,487.50 is: 946,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,120.50 : 630,487.50 = 630,487.50 : x
  2. Step 2: Convert to fraction form
    420,120.50/630,487.50 = 630,487.50/x
  3. Step 3: Cross multiply
    420,120.50x = 630,487.50 × 630,487.50
  4. Step 4: Simplify right side
    420,120.50x = 397,514,487,656.25
  5. Step 5: Solve for x
    x = 397,514,487,656.25/420,120.50
  6. Step 6: Final answer
    x = 946,191.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.