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Finding the Third Proportional to 265,561 and 573,380

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Solution

The third proportional to 265,561 and 573,380 is: 1,238,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,561 : 573,380 = 573,380 : x
  2. Step 2: Convert to fraction form
    265,561/573,380 = 573,380/x
  3. Step 3: Cross multiply
    265,561x = 573,380 × 573,380
  4. Step 4: Simplify right side
    265,561x = 328,764,624,400
  5. Step 5: Solve for x
    x = 328,764,624,400/265,561
  6. Step 6: Final answer
    x = 1,238,000.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.