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Finding the Third Proportional to 255,447 and 555,201

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Solution

The third proportional to 255,447 and 555,201 is: 1,206,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,447 : 555,201 = 555,201 : x
  2. Step 2: Convert to fraction form
    255,447/555,201 = 555,201/x
  3. Step 3: Cross multiply
    255,447x = 555,201 × 555,201
  4. Step 4: Simplify right side
    255,447x = 308,248,150,401
  5. Step 5: Solve for x
    x = 308,248,150,401/255,447
  6. Step 6: Final answer
    x = 1,206,701.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.