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Finding the Third Proportional to 229,627 and 486,574

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Solution

The third proportional to 229,627 and 486,574 is: 1,031,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,627 : 486,574 = 486,574 : x
  2. Step 2: Convert to fraction form
    229,627/486,574 = 486,574/x
  3. Step 3: Cross multiply
    229,627x = 486,574 × 486,574
  4. Step 4: Simplify right side
    229,627x = 236,754,257,476
  5. Step 5: Solve for x
    x = 236,754,257,476/229,627
  6. Step 6: Final answer
    x = 1,031,038.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.