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Finding the Third Proportional to 435,312 and 616,176

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Solution

The third proportional to 435,312 and 616,176 is: 872,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,312 : 616,176 = 616,176 : x
  2. Step 2: Convert to fraction form
    435,312/616,176 = 616,176/x
  3. Step 3: Cross multiply
    435,312x = 616,176 × 616,176
  4. Step 4: Simplify right side
    435,312x = 379,672,862,976
  5. Step 5: Solve for x
    x = 379,672,862,976/435,312
  6. Step 6: Final answer
    x = 872,185.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.