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Finding the Third Proportional to 319,630 and 689,075

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Solution

The third proportional to 319,630 and 689,075 is: 1,485,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,630 : 689,075 = 689,075 : x
  2. Step 2: Convert to fraction form
    319,630/689,075 = 689,075/x
  3. Step 3: Cross multiply
    319,630x = 689,075 × 689,075
  4. Step 4: Simplify right side
    319,630x = 474,824,355,625
  5. Step 5: Solve for x
    x = 474,824,355,625/319,630
  6. Step 6: Final answer
    x = 1,485,543.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.