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Finding the Third Proportional to 252,912 and 585,516

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Solution

The third proportional to 252,912 and 585,516 is: 1,355,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,912 : 585,516 = 585,516 : x
  2. Step 2: Convert to fraction form
    252,912/585,516 = 585,516/x
  3. Step 3: Cross multiply
    252,912x = 585,516 × 585,516
  4. Step 4: Simplify right side
    252,912x = 342,828,986,256
  5. Step 5: Solve for x
    x = 342,828,986,256/252,912
  6. Step 6: Final answer
    x = 1,355,526.77

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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.