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Finding the Third Proportional to 236,486 and 525,460

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Solution

The third proportional to 236,486 and 525,460 is: 1,167,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,486 : 525,460 = 525,460 : x
  2. Step 2: Convert to fraction form
    236,486/525,460 = 525,460/x
  3. Step 3: Cross multiply
    236,486x = 525,460 × 525,460
  4. Step 4: Simplify right side
    236,486x = 276,108,211,600
  5. Step 5: Solve for x
    x = 276,108,211,600/236,486
  6. Step 6: Final answer
    x = 1,167,545.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.