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Finding the Third Proportional to 256,263 and 390,714

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Solution

The third proportional to 256,263 and 390,714 is: 595,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,263 : 390,714 = 390,714 : x
  2. Step 2: Convert to fraction form
    256,263/390,714 = 390,714/x
  3. Step 3: Cross multiply
    256,263x = 390,714 × 390,714
  4. Step 4: Simplify right side
    256,263x = 152,657,429,796
  5. Step 5: Solve for x
    x = 152,657,429,796/256,263
  6. Step 6: Final answer
    x = 595,706.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.