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Finding the Third Proportional to 250,378 and 540,076

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Solution

The third proportional to 250,378 and 540,076 is: 1,164,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,378 : 540,076 = 540,076 : x
  2. Step 2: Convert to fraction form
    250,378/540,076 = 540,076/x
  3. Step 3: Cross multiply
    250,378x = 540,076 × 540,076
  4. Step 4: Simplify right side
    250,378x = 291,682,085,776
  5. Step 5: Solve for x
    x = 291,682,085,776/250,378
  6. Step 6: Final answer
    x = 1,164,966.91

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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.