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Finding the Third Proportional to 572,192 and 865,652

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Solution

The third proportional to 572,192 and 865,652 is: 1,309,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,192 : 865,652 = 865,652 : x
  2. Step 2: Convert to fraction form
    572,192/865,652 = 865,652/x
  3. Step 3: Cross multiply
    572,192x = 865,652 × 865,652
  4. Step 4: Simplify right side
    572,192x = 749,353,385,104
  5. Step 5: Solve for x
    x = 749,353,385,104/572,192
  6. Step 6: Final answer
    x = 1,309,618.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.