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Finding the Third Proportional to 252,516 and 584,640

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Solution

The third proportional to 252,516 and 584,640 is: 1,353,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,516 : 584,640 = 584,640 : x
  2. Step 2: Convert to fraction form
    252,516/584,640 = 584,640/x
  3. Step 3: Cross multiply
    252,516x = 584,640 × 584,640
  4. Step 4: Simplify right side
    252,516x = 341,803,929,600
  5. Step 5: Solve for x
    x = 341,803,929,600/252,516
  6. Step 6: Final answer
    x = 1,353,593.16

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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.