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Finding the Third Proportional to 504,552 and 758,955

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Solution

The third proportional to 504,552 and 758,955 is: 1,141,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,552 : 758,955 = 758,955 : x
  2. Step 2: Convert to fraction form
    504,552/758,955 = 758,955/x
  3. Step 3: Cross multiply
    504,552x = 758,955 × 758,955
  4. Step 4: Simplify right side
    504,552x = 576,012,692,025
  5. Step 5: Solve for x
    x = 576,012,692,025/504,552
  6. Step 6: Final answer
    x = 1,141,631.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.