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Finding the Third Proportional to 328,188 and 717,120

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Solution

The third proportional to 328,188 and 717,120 is: 1,566,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,188 : 717,120 = 717,120 : x
  2. Step 2: Convert to fraction form
    328,188/717,120 = 717,120/x
  3. Step 3: Cross multiply
    328,188x = 717,120 × 717,120
  4. Step 4: Simplify right side
    328,188x = 514,261,094,400
  5. Step 5: Solve for x
    x = 514,261,094,400/328,188
  6. Step 6: Final answer
    x = 1,566,971.05

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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.