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Finding the Third Proportional to 320,242.50 and 689,967

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Solution

The third proportional to 320,242.50 and 689,967 is: 1,486,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,242.50 : 689,967 = 689,967 : x
  2. Step 2: Convert to fraction form
    320,242.50/689,967 = 689,967/x
  3. Step 3: Cross multiply
    320,242.50x = 689,967 × 689,967
  4. Step 4: Simplify right side
    320,242.50x = 476,054,461,089
  5. Step 5: Solve for x
    x = 476,054,461,089/320,242.50
  6. Step 6: Final answer
    x = 1,486,543.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.