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Finding the Third Proportional to 506,191 and 712,021

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Solution

The third proportional to 506,191 and 712,021 is: 1,001,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,191 : 712,021 = 712,021 : x
  2. Step 2: Convert to fraction form
    506,191/712,021 = 712,021/x
  3. Step 3: Cross multiply
    506,191x = 712,021 × 712,021
  4. Step 4: Simplify right side
    506,191x = 506,973,904,441
  5. Step 5: Solve for x
    x = 506,973,904,441/506,191
  6. Step 6: Final answer
    x = 1,001,546.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.