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Finding the Third Proportional to 230,623.50 and 506,651.50

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Solution

The third proportional to 230,623.50 and 506,651.50 is: 1,113,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,623.50 : 506,651.50 = 506,651.50 : x
  2. Step 2: Convert to fraction form
    230,623.50/506,651.50 = 506,651.50/x
  3. Step 3: Cross multiply
    230,623.50x = 506,651.50 × 506,651.50
  4. Step 4: Simplify right side
    230,623.50x = 256,695,742,452.25
  5. Step 5: Solve for x
    x = 256,695,742,452.25/230,623.50
  6. Step 6: Final answer
    x = 1,113,051.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.