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Finding the Third Proportional to 303,522 and 656,946

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Solution

The third proportional to 303,522 and 656,946 is: 1,421,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,522 : 656,946 = 656,946 : x
  2. Step 2: Convert to fraction form
    303,522/656,946 = 656,946/x
  3. Step 3: Cross multiply
    303,522x = 656,946 × 656,946
  4. Step 4: Simplify right side
    303,522x = 431,578,046,916
  5. Step 5: Solve for x
    x = 431,578,046,916/303,522
  6. Step 6: Final answer
    x = 1,421,900.38

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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.