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Finding the Third Proportional to 265,300 and 572,616

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Solution

The third proportional to 265,300 and 572,616 is: 1,235,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,300 : 572,616 = 572,616 : x
  2. Step 2: Convert to fraction form
    265,300/572,616 = 572,616/x
  3. Step 3: Cross multiply
    265,300x = 572,616 × 572,616
  4. Step 4: Simplify right side
    265,300x = 327,889,083,456
  5. Step 5: Solve for x
    x = 327,889,083,456/265,300
  6. Step 6: Final answer
    x = 1,235,918.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.