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Finding the Third Proportional to 242,075 and 512,946

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Solution

The third proportional to 242,075 and 512,946 is: 1,086,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,075 : 512,946 = 512,946 : x
  2. Step 2: Convert to fraction form
    242,075/512,946 = 512,946/x
  3. Step 3: Cross multiply
    242,075x = 512,946 × 512,946
  4. Step 4: Simplify right side
    242,075x = 263,113,598,916
  5. Step 5: Solve for x
    x = 263,113,598,916/242,075
  6. Step 6: Final answer
    x = 1,086,909.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.