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Finding the Third Proportional to 214,164 and 507,366.28

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Solution

The third proportional to 214,164 and 507,366.28 is: 1,201,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,164 : 507,366.28 = 507,366.28 : x
  2. Step 2: Convert to fraction form
    214,164/507,366.28 = 507,366.28/x
  3. Step 3: Cross multiply
    214,164x = 507,366.28 × 507,366.28
  4. Step 4: Simplify right side
    214,164x = 257,420,543,349.45
  5. Step 5: Solve for x
    x = 257,420,543,349.45/214,164
  6. Step 6: Final answer
    x = 1,201,978.59

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.