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Finding the Third Proportional to 367,586.50 and 562,193.50

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Solution

The third proportional to 367,586.50 and 562,193.50 is: 859,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,586.50 : 562,193.50 = 562,193.50 : x
  2. Step 2: Convert to fraction form
    367,586.50/562,193.50 = 562,193.50/x
  3. Step 3: Cross multiply
    367,586.50x = 562,193.50 × 562,193.50
  4. Step 4: Simplify right side
    367,586.50x = 316,061,531,442.25
  5. Step 5: Solve for x
    x = 316,061,531,442.25/367,586.50
  6. Step 6: Final answer
    x = 859,829.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.