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Finding the Third Proportional to 233,808 and 506,964

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Solution

The third proportional to 233,808 and 506,964 is: 1,099,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,808 : 506,964 = 506,964 : x
  2. Step 2: Convert to fraction form
    233,808/506,964 = 506,964/x
  3. Step 3: Cross multiply
    233,808x = 506,964 × 506,964
  4. Step 4: Simplify right side
    233,808x = 257,012,497,296
  5. Step 5: Solve for x
    x = 257,012,497,296/233,808
  6. Step 6: Final answer
    x = 1,099,245.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.