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Finding the Third Proportional to 600,429 and 928,695

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Solution

The third proportional to 600,429 and 928,695 is: 1,436,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,429 : 928,695 = 928,695 : x
  2. Step 2: Convert to fraction form
    600,429/928,695 = 928,695/x
  3. Step 3: Cross multiply
    600,429x = 928,695 × 928,695
  4. Step 4: Simplify right side
    600,429x = 862,474,403,025
  5. Step 5: Solve for x
    x = 862,474,403,025/600,429
  6. Step 6: Final answer
    x = 1,436,430.29

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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.