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Finding the Third Proportional to 265,306 and 572,628

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Solution

The third proportional to 265,306 and 572,628 is: 1,235,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,306 : 572,628 = 572,628 : x
  2. Step 2: Convert to fraction form
    265,306/572,628 = 572,628/x
  3. Step 3: Cross multiply
    265,306x = 572,628 × 572,628
  4. Step 4: Simplify right side
    265,306x = 327,902,826,384
  5. Step 5: Solve for x
    x = 327,902,826,384/265,306
  6. Step 6: Final answer
    x = 1,235,941.99

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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.