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Finding the Third Proportional to 250,442 and 540,340

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Solution

The third proportional to 250,442 and 540,340 is: 1,165,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,442 : 540,340 = 540,340 : x
  2. Step 2: Convert to fraction form
    250,442/540,340 = 540,340/x
  3. Step 3: Cross multiply
    250,442x = 540,340 × 540,340
  4. Step 4: Simplify right side
    250,442x = 291,967,315,600
  5. Step 5: Solve for x
    x = 291,967,315,600/250,442
  6. Step 6: Final answer
    x = 1,165,808.11

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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.