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Finding the Third Proportional to 600,425 and 928,688

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Solution

The third proportional to 600,425 and 928,688 is: 1,436,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,425 : 928,688 = 928,688 : x
  2. Step 2: Convert to fraction form
    600,425/928,688 = 928,688/x
  3. Step 3: Cross multiply
    600,425x = 928,688 × 928,688
  4. Step 4: Simplify right side
    600,425x = 862,461,401,344
  5. Step 5: Solve for x
    x = 862,461,401,344/600,425
  6. Step 6: Final answer
    x = 1,436,418.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.