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Finding the Third Proportional to 254,356 and 542,480

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Solution

The third proportional to 254,356 and 542,480 is: 1,156,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,356 : 542,480 = 542,480 : x
  2. Step 2: Convert to fraction form
    254,356/542,480 = 542,480/x
  3. Step 3: Cross multiply
    254,356x = 542,480 × 542,480
  4. Step 4: Simplify right side
    254,356x = 294,284,550,400
  5. Step 5: Solve for x
    x = 294,284,550,400/254,356
  6. Step 6: Final answer
    x = 1,156,979.00

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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.