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Finding the Third Proportional to 214,004 and 506,095

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Solution

The third proportional to 214,004 and 506,095 is: 1,196,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,004 : 506,095 = 506,095 : x
  2. Step 2: Convert to fraction form
    214,004/506,095 = 506,095/x
  3. Step 3: Cross multiply
    214,004x = 506,095 × 506,095
  4. Step 4: Simplify right side
    214,004x = 256,132,149,025
  5. Step 5: Solve for x
    x = 256,132,149,025/214,004
  6. Step 6: Final answer
    x = 1,196,856.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.