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Finding the Third Proportional to 265,052 and 529,888

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Solution

The third proportional to 265,052 and 529,888 is: 1,059,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,052 : 529,888 = 529,888 : x
  2. Step 2: Convert to fraction form
    265,052/529,888 = 529,888/x
  3. Step 3: Cross multiply
    265,052x = 529,888 × 529,888
  4. Step 4: Simplify right side
    265,052x = 280,781,292,544
  5. Step 5: Solve for x
    x = 280,781,292,544/265,052
  6. Step 6: Final answer
    x = 1,059,344.18

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.