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Finding the Third Proportional to 196,913 and 431,957

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Solution

The third proportional to 196,913 and 431,957 is: 947,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,913 : 431,957 = 431,957 : x
  2. Step 2: Convert to fraction form
    196,913/431,957 = 431,957/x
  3. Step 3: Cross multiply
    196,913x = 431,957 × 431,957
  4. Step 4: Simplify right side
    196,913x = 186,586,849,849
  5. Step 5: Solve for x
    x = 186,586,849,849/196,913
  6. Step 6: Final answer
    x = 947,559.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.