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Finding the Third Proportional to 265,346 and 555,290

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Solution

The third proportional to 265,346 and 555,290 is: 1,162,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,346 : 555,290 = 555,290 : x
  2. Step 2: Convert to fraction form
    265,346/555,290 = 555,290/x
  3. Step 3: Cross multiply
    265,346x = 555,290 × 555,290
  4. Step 4: Simplify right side
    265,346x = 308,346,984,100
  5. Step 5: Solve for x
    x = 308,346,984,100/265,346
  6. Step 6: Final answer
    x = 1,162,056.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.