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Finding the Third Proportional to 466,339 and 713,036

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Solution

The third proportional to 466,339 and 713,036 is: 1,090,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,339 : 713,036 = 713,036 : x
  2. Step 2: Convert to fraction form
    466,339/713,036 = 713,036/x
  3. Step 3: Cross multiply
    466,339x = 713,036 × 713,036
  4. Step 4: Simplify right side
    466,339x = 508,420,337,296
  5. Step 5: Solve for x
    x = 508,420,337,296/466,339
  6. Step 6: Final answer
    x = 1,090,237.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.