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Finding the Third Proportional to 255,046 and 558,570

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Solution

The third proportional to 255,046 and 558,570 is: 1,223,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,046 : 558,570 = 558,570 : x
  2. Step 2: Convert to fraction form
    255,046/558,570 = 558,570/x
  3. Step 3: Cross multiply
    255,046x = 558,570 × 558,570
  4. Step 4: Simplify right side
    255,046x = 312,000,444,900
  5. Step 5: Solve for x
    x = 312,000,444,900/255,046
  6. Step 6: Final answer
    x = 1,223,310.48

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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.