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Finding the Third Proportional to 255,384 and 555,552

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Solution

The third proportional to 255,384 and 555,552 is: 1,208,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,384 : 555,552 = 555,552 : x
  2. Step 2: Convert to fraction form
    255,384/555,552 = 555,552/x
  3. Step 3: Cross multiply
    255,384x = 555,552 × 555,552
  4. Step 4: Simplify right side
    255,384x = 308,638,024,704
  5. Step 5: Solve for x
    x = 308,638,024,704/255,384
  6. Step 6: Final answer
    x = 1,208,525.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.