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Finding the Third Proportional to 265,973 and 577,159

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Solution

The third proportional to 265,973 and 577,159 is: 1,252,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,973 : 577,159 = 577,159 : x
  2. Step 2: Convert to fraction form
    265,973/577,159 = 577,159/x
  3. Step 3: Cross multiply
    265,973x = 577,159 × 577,159
  4. Step 4: Simplify right side
    265,973x = 333,112,511,281
  5. Step 5: Solve for x
    x = 333,112,511,281/265,973
  6. Step 6: Final answer
    x = 1,252,429.80

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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.