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Finding the Third Proportional to 252,772 and 585,178

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Solution

The third proportional to 252,772 and 585,178 is: 1,354,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,772 : 585,178 = 585,178 : x
  2. Step 2: Convert to fraction form
    252,772/585,178 = 585,178/x
  3. Step 3: Cross multiply
    252,772x = 585,178 × 585,178
  4. Step 4: Simplify right side
    252,772x = 342,433,291,684
  5. Step 5: Solve for x
    x = 342,433,291,684/252,772
  6. Step 6: Final answer
    x = 1,354,712.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.