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Finding the Third Proportional to 256,716 and 618,460

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Solution

The third proportional to 256,716 and 618,460 is: 1,489,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,716 : 618,460 = 618,460 : x
  2. Step 2: Convert to fraction form
    256,716/618,460 = 618,460/x
  3. Step 3: Cross multiply
    256,716x = 618,460 × 618,460
  4. Step 4: Simplify right side
    256,716x = 382,492,771,600
  5. Step 5: Solve for x
    x = 382,492,771,600/256,716
  6. Step 6: Final answer
    x = 1,489,945.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.