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Finding the Third Proportional to 328,036.50 and 717,561

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Solution

The third proportional to 328,036.50 and 717,561 is: 1,569,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,036.50 : 717,561 = 717,561 : x
  2. Step 2: Convert to fraction form
    328,036.50/717,561 = 717,561/x
  3. Step 3: Cross multiply
    328,036.50x = 717,561 × 717,561
  4. Step 4: Simplify right side
    328,036.50x = 514,893,788,721
  5. Step 5: Solve for x
    x = 514,893,788,721/328,036.50
  6. Step 6: Final answer
    x = 1,569,623.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.