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Finding the Third Proportional to 267,635 and 390,774

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Solution

The third proportional to 267,635 and 390,774 is: 570,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,635 : 390,774 = 390,774 : x
  2. Step 2: Convert to fraction form
    267,635/390,774 = 390,774/x
  3. Step 3: Cross multiply
    267,635x = 390,774 × 390,774
  4. Step 4: Simplify right side
    267,635x = 152,704,319,076
  5. Step 5: Solve for x
    x = 152,704,319,076/267,635
  6. Step 6: Final answer
    x = 570,569.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.