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Finding the Third Proportional to 384,636 and 597,114

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Solution

The third proportional to 384,636 and 597,114 is: 926,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,636 : 597,114 = 597,114 : x
  2. Step 2: Convert to fraction form
    384,636/597,114 = 597,114/x
  3. Step 3: Cross multiply
    384,636x = 597,114 × 597,114
  4. Step 4: Simplify right side
    384,636x = 356,545,128,996
  5. Step 5: Solve for x
    x = 356,545,128,996/384,636
  6. Step 6: Final answer
    x = 926,967.65

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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.