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Finding the Third Proportional to 597,984 and 926,865

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Solution

The third proportional to 597,984 and 926,865 is: 1,436,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,984 : 926,865 = 926,865 : x
  2. Step 2: Convert to fraction form
    597,984/926,865 = 926,865/x
  3. Step 3: Cross multiply
    597,984x = 926,865 × 926,865
  4. Step 4: Simplify right side
    597,984x = 859,078,728,225
  5. Step 5: Solve for x
    x = 859,078,728,225/597,984
  6. Step 6: Final answer
    x = 1,436,624.94

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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.