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Finding the Third Proportional to 320,526 and 683,955

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Solution

The third proportional to 320,526 and 683,955 is: 1,459,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,526 : 683,955 = 683,955 : x
  2. Step 2: Convert to fraction form
    320,526/683,955 = 683,955/x
  3. Step 3: Cross multiply
    320,526x = 683,955 × 683,955
  4. Step 4: Simplify right side
    320,526x = 467,794,442,025
  5. Step 5: Solve for x
    x = 467,794,442,025/320,526
  6. Step 6: Final answer
    x = 1,459,458.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.