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Finding the Third Proportional to 255,749 and 557,290

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Solution

The third proportional to 255,749 and 557,290 is: 1,214,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,749 : 557,290 = 557,290 : x
  2. Step 2: Convert to fraction form
    255,749/557,290 = 557,290/x
  3. Step 3: Cross multiply
    255,749x = 557,290 × 557,290
  4. Step 4: Simplify right side
    255,749x = 310,572,144,100
  5. Step 5: Solve for x
    x = 310,572,144,100/255,749
  6. Step 6: Final answer
    x = 1,214,363.08

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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.