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Finding the Third Proportional to 595,792.50 and 882,114.75

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Solution

The third proportional to 595,792.50 and 882,114.75 is: 1,306,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,792.50 : 882,114.75 = 882,114.75 : x
  2. Step 2: Convert to fraction form
    595,792.50/882,114.75 = 882,114.75/x
  3. Step 3: Cross multiply
    595,792.50x = 882,114.75 × 882,114.75
  4. Step 4: Simplify right side
    595,792.50x = 778,126,432,167.56
  5. Step 5: Solve for x
    x = 778,126,432,167.56/595,792.50
  6. Step 6: Final answer
    x = 1,306,035.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.