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Finding the Third Proportional to 365,450 and 562,438.50

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Solution

The third proportional to 365,450 and 562,438.50 is: 865,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,450 : 562,438.50 = 562,438.50 : x
  2. Step 2: Convert to fraction form
    365,450/562,438.50 = 562,438.50/x
  3. Step 3: Cross multiply
    365,450x = 562,438.50 × 562,438.50
  4. Step 4: Simplify right side
    365,450x = 316,337,066,282.25
  5. Step 5: Solve for x
    x = 316,337,066,282.25/365,450
  6. Step 6: Final answer
    x = 865,609.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.