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Finding the Third Proportional to 366,908 and 506,985

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Solution

The third proportional to 366,908 and 506,985 is: 700,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,908 : 506,985 = 506,985 : x
  2. Step 2: Convert to fraction form
    366,908/506,985 = 506,985/x
  3. Step 3: Cross multiply
    366,908x = 506,985 × 506,985
  4. Step 4: Simplify right side
    366,908x = 257,033,790,225
  5. Step 5: Solve for x
    x = 257,033,790,225/366,908
  6. Step 6: Final answer
    x = 700,540.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.