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Finding the Third Proportional to 472,678 and 709,361

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Solution

The third proportional to 472,678 and 709,361 is: 1,064,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,678 : 709,361 = 709,361 : x
  2. Step 2: Convert to fraction form
    472,678/709,361 = 709,361/x
  3. Step 3: Cross multiply
    472,678x = 709,361 × 709,361
  4. Step 4: Simplify right side
    472,678x = 503,193,028,321
  5. Step 5: Solve for x
    x = 503,193,028,321/472,678
  6. Step 6: Final answer
    x = 1,064,557.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.