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Finding the Third Proportional to 237,664 and 516,312

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Solution

The third proportional to 237,664 and 516,312 is: 1,121,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,664 : 516,312 = 516,312 : x
  2. Step 2: Convert to fraction form
    237,664/516,312 = 516,312/x
  3. Step 3: Cross multiply
    237,664x = 516,312 × 516,312
  4. Step 4: Simplify right side
    237,664x = 266,578,081,344
  5. Step 5: Solve for x
    x = 266,578,081,344/237,664
  6. Step 6: Final answer
    x = 1,121,659.49

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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.