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Finding the Third Proportional to 328,034.50 and 710,471

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Solution

The third proportional to 328,034.50 and 710,471 is: 1,538,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,034.50 : 710,471 = 710,471 : x
  2. Step 2: Convert to fraction form
    328,034.50/710,471 = 710,471/x
  3. Step 3: Cross multiply
    328,034.50x = 710,471 × 710,471
  4. Step 4: Simplify right side
    328,034.50x = 504,769,041,841
  5. Step 5: Solve for x
    x = 504,769,041,841/328,034.50
  6. Step 6: Final answer
    x = 1,538,768.15

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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.