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Finding the Third Proportional to 256,525 and 562,304

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Solution

The third proportional to 256,525 and 562,304 is: 1,232,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,525 : 562,304 = 562,304 : x
  2. Step 2: Convert to fraction form
    256,525/562,304 = 562,304/x
  3. Step 3: Cross multiply
    256,525x = 562,304 × 562,304
  4. Step 4: Simplify right side
    256,525x = 316,185,788,416
  5. Step 5: Solve for x
    x = 316,185,788,416/256,525
  6. Step 6: Final answer
    x = 1,232,573.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.