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Finding the Third Proportional to 328,016 and 710,437

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Solution

The third proportional to 328,016 and 710,437 is: 1,538,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,016 : 710,437 = 710,437 : x
  2. Step 2: Convert to fraction form
    328,016/710,437 = 710,437/x
  3. Step 3: Cross multiply
    328,016x = 710,437 × 710,437
  4. Step 4: Simplify right side
    328,016x = 504,720,730,969
  5. Step 5: Solve for x
    x = 504,720,730,969/328,016
  6. Step 6: Final answer
    x = 1,538,707.66

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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.