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Finding the Third Proportional to 386,692 and 597,574

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Solution

The third proportional to 386,692 and 597,574 is: 923,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,692 : 597,574 = 597,574 : x
  2. Step 2: Convert to fraction form
    386,692/597,574 = 597,574/x
  3. Step 3: Cross multiply
    386,692x = 597,574 × 597,574
  4. Step 4: Simplify right side
    386,692x = 357,094,685,476
  5. Step 5: Solve for x
    x = 357,094,685,476/386,692
  6. Step 6: Final answer
    x = 923,460.24

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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.