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Finding the Third Proportional to 355,952 and 550,968

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Solution

The third proportional to 355,952 and 550,968 is: 852,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,952 : 550,968 = 550,968 : x
  2. Step 2: Convert to fraction form
    355,952/550,968 = 550,968/x
  3. Step 3: Cross multiply
    355,952x = 550,968 × 550,968
  4. Step 4: Simplify right side
    355,952x = 303,565,737,024
  5. Step 5: Solve for x
    x = 303,565,737,024/355,952
  6. Step 6: Final answer
    x = 852,827.73

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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.