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Finding the Third Proportional to 328,014 and 710,433

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Solution

The third proportional to 328,014 and 710,433 is: 1,538,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,014 : 710,433 = 710,433 : x
  2. Step 2: Convert to fraction form
    328,014/710,433 = 710,433/x
  3. Step 3: Cross multiply
    328,014x = 710,433 × 710,433
  4. Step 4: Simplify right side
    328,014x = 504,715,047,489
  5. Step 5: Solve for x
    x = 504,715,047,489/328,014
  6. Step 6: Final answer
    x = 1,538,699.71

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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.