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Finding the Third Proportional to 365,812.50 and 562,984.88

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Solution

The third proportional to 365,812.50 and 562,984.88 is: 866,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,812.50 : 562,984.88 = 562,984.88 : x
  2. Step 2: Convert to fraction form
    365,812.50/562,984.88 = 562,984.88/x
  3. Step 3: Cross multiply
    365,812.50x = 562,984.88 × 562,984.88
  4. Step 4: Simplify right side
    365,812.50x = 316,951,969,478.77
  5. Step 5: Solve for x
    x = 316,951,969,478.77/365,812.50
  6. Step 6: Final answer
    x = 866,432.86

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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.