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Finding the Third Proportional to 328,833.50 and 717,176.50

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Solution

The third proportional to 328,833.50 and 717,176.50 is: 1,564,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,833.50 : 717,176.50 = 717,176.50 : x
  2. Step 2: Convert to fraction form
    328,833.50/717,176.50 = 717,176.50/x
  3. Step 3: Cross multiply
    328,833.50x = 717,176.50 × 717,176.50
  4. Step 4: Simplify right side
    328,833.50x = 514,342,132,152.25
  5. Step 5: Solve for x
    x = 514,342,132,152.25/328,833.50
  6. Step 6: Final answer
    x = 1,564,141.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.