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Finding the Third Proportional to 576,340 and 926,024

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Solution

The third proportional to 576,340 and 926,024 is: 1,487,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,340 : 926,024 = 926,024 : x
  2. Step 2: Convert to fraction form
    576,340/926,024 = 926,024/x
  3. Step 3: Cross multiply
    576,340x = 926,024 × 926,024
  4. Step 4: Simplify right side
    576,340x = 857,520,448,576
  5. Step 5: Solve for x
    x = 857,520,448,576/576,340
  6. Step 6: Final answer
    x = 1,487,872.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.