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Finding the Third Proportional to 263,955 and 575,553

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Solution

The third proportional to 263,955 and 575,553 is: 1,254,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,955 : 575,553 = 575,553 : x
  2. Step 2: Convert to fraction form
    263,955/575,553 = 575,553/x
  3. Step 3: Cross multiply
    263,955x = 575,553 × 575,553
  4. Step 4: Simplify right side
    263,955x = 331,261,255,809
  5. Step 5: Solve for x
    x = 331,261,255,809/263,955
  6. Step 6: Final answer
    x = 1,254,991.40

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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.