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Finding the Third Proportional to 256,730.25 and 572,490

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Solution

The third proportional to 256,730.25 and 572,490 is: 1,276,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,730.25 : 572,490 = 572,490 : x
  2. Step 2: Convert to fraction form
    256,730.25/572,490 = 572,490/x
  3. Step 3: Cross multiply
    256,730.25x = 572,490 × 572,490
  4. Step 4: Simplify right side
    256,730.25x = 327,744,800,100
  5. Step 5: Solve for x
    x = 327,744,800,100/256,730.25
  6. Step 6: Final answer
    x = 1,276,611.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.