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Finding the Third Proportional to 437,486 and 685,388

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Solution

The third proportional to 437,486 and 685,388 is: 1,073,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,486 : 685,388 = 685,388 : x
  2. Step 2: Convert to fraction form
    437,486/685,388 = 685,388/x
  3. Step 3: Cross multiply
    437,486x = 685,388 × 685,388
  4. Step 4: Simplify right side
    437,486x = 469,756,710,544
  5. Step 5: Solve for x
    x = 469,756,710,544/437,486
  6. Step 6: Final answer
    x = 1,073,763.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.