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Finding the Third Proportional to 320,423.34 and 691,508.81

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Solution

The third proportional to 320,423.34 and 691,508.81 is: 1,492,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,423.34 : 691,508.81 = 691,508.81 : x
  2. Step 2: Convert to fraction form
    320,423.34/691,508.81 = 691,508.81/x
  3. Step 3: Cross multiply
    320,423.34x = 691,508.81 × 691,508.81
  4. Step 4: Simplify right side
    320,423.34x = 478,184,437,765.16
  5. Step 5: Solve for x
    x = 478,184,437,765.16/320,423.34
  6. Step 6: Final answer
    x = 1,492,352.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.