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Finding the Third Proportional to 328,148 and 717,036

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Solution

The third proportional to 328,148 and 717,036 is: 1,566,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,148 : 717,036 = 717,036 : x
  2. Step 2: Convert to fraction form
    328,148/717,036 = 717,036/x
  3. Step 3: Cross multiply
    328,148x = 717,036 × 717,036
  4. Step 4: Simplify right side
    328,148x = 514,140,625,296
  5. Step 5: Solve for x
    x = 514,140,625,296/328,148
  6. Step 6: Final answer
    x = 1,566,794.94

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Why These Related Problems?

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