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Finding the Third Proportional to 233,439 and 512,598

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Solution

The third proportional to 233,439 and 512,598 is: 1,125,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,439 : 512,598 = 512,598 : x
  2. Step 2: Convert to fraction form
    233,439/512,598 = 512,598/x
  3. Step 3: Cross multiply
    233,439x = 512,598 × 512,598
  4. Step 4: Simplify right side
    233,439x = 262,756,709,604
  5. Step 5: Solve for x
    x = 262,756,709,604/233,439
  6. Step 6: Final answer
    x = 1,125,590.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.