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Finding the Third Proportional to 270,324 and 575,624

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Solution

The third proportional to 270,324 and 575,624 is: 1,225,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,324 : 575,624 = 575,624 : x
  2. Step 2: Convert to fraction form
    270,324/575,624 = 575,624/x
  3. Step 3: Cross multiply
    270,324x = 575,624 × 575,624
  4. Step 4: Simplify right side
    270,324x = 331,342,989,376
  5. Step 5: Solve for x
    x = 331,342,989,376/270,324
  6. Step 6: Final answer
    x = 1,225,725.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.