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Finding the Third Proportional to 325,667 and 707,032

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Solution

The third proportional to 325,667 and 707,032 is: 1,534,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,667 : 707,032 = 707,032 : x
  2. Step 2: Convert to fraction form
    325,667/707,032 = 707,032/x
  3. Step 3: Cross multiply
    325,667x = 707,032 × 707,032
  4. Step 4: Simplify right side
    325,667x = 499,894,249,024
  5. Step 5: Solve for x
    x = 499,894,249,024/325,667
  6. Step 6: Final answer
    x = 1,534,985.89

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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.