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Finding the Third Proportional to 576,306 and 925,968

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Solution

The third proportional to 576,306 and 925,968 is: 1,487,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,306 : 925,968 = 925,968 : x
  2. Step 2: Convert to fraction form
    576,306/925,968 = 925,968/x
  3. Step 3: Cross multiply
    576,306x = 925,968 × 925,968
  4. Step 4: Simplify right side
    576,306x = 857,416,737,024
  5. Step 5: Solve for x
    x = 857,416,737,024/576,306
  6. Step 6: Final answer
    x = 1,487,780.34

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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.