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Finding the Third Proportional to 456,326 and 709,377

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Solution

The third proportional to 456,326 and 709,377 is: 1,102,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,326 : 709,377 = 709,377 : x
  2. Step 2: Convert to fraction form
    456,326/709,377 = 709,377/x
  3. Step 3: Cross multiply
    456,326x = 709,377 × 709,377
  4. Step 4: Simplify right side
    456,326x = 503,215,728,129
  5. Step 5: Solve for x
    x = 503,215,728,129/456,326
  6. Step 6: Final answer
    x = 1,102,754.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.