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Finding the Third Proportional to 536,224 and 786,292

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Solution

The third proportional to 536,224 and 786,292 is: 1,152,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,224 : 786,292 = 786,292 : x
  2. Step 2: Convert to fraction form
    536,224/786,292 = 786,292/x
  3. Step 3: Cross multiply
    536,224x = 786,292 × 786,292
  4. Step 4: Simplify right side
    536,224x = 618,255,109,264
  5. Step 5: Solve for x
    x = 618,255,109,264/536,224
  6. Step 6: Final answer
    x = 1,152,979.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.