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Finding the Third Proportional to 472,696 and 709,388

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Solution

The third proportional to 472,696 and 709,388 is: 1,064,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,696 : 709,388 = 709,388 : x
  2. Step 2: Convert to fraction form
    472,696/709,388 = 709,388/x
  3. Step 3: Cross multiply
    472,696x = 709,388 × 709,388
  4. Step 4: Simplify right side
    472,696x = 503,231,334,544
  5. Step 5: Solve for x
    x = 503,231,334,544/472,696
  6. Step 6: Final answer
    x = 1,064,598.25

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Why These Related Problems?

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