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Finding the Third Proportional to 216,946 and 506,844

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Solution

The third proportional to 216,946 and 506,844 is: 1,184,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,946 : 506,844 = 506,844 : x
  2. Step 2: Convert to fraction form
    216,946/506,844 = 506,844/x
  3. Step 3: Cross multiply
    216,946x = 506,844 × 506,844
  4. Step 4: Simplify right side
    216,946x = 256,890,840,336
  5. Step 5: Solve for x
    x = 256,890,840,336/216,946
  6. Step 6: Final answer
    x = 1,184,123.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.