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Finding the Third Proportional to 367,596 and 562,207.50

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Solution

The third proportional to 367,596 and 562,207.50 is: 859,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,596 : 562,207.50 = 562,207.50 : x
  2. Step 2: Convert to fraction form
    367,596/562,207.50 = 562,207.50/x
  3. Step 3: Cross multiply
    367,596x = 562,207.50 × 562,207.50
  4. Step 4: Simplify right side
    367,596x = 316,077,273,056.25
  5. Step 5: Solve for x
    x = 316,077,273,056.25/367,596
  6. Step 6: Final answer
    x = 859,849.60

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