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Finding the Third Proportional to 240,846 and 529,362

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Solution

The third proportional to 240,846 and 529,362 is: 1,163,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,846 : 529,362 = 529,362 : x
  2. Step 2: Convert to fraction form
    240,846/529,362 = 529,362/x
  3. Step 3: Cross multiply
    240,846x = 529,362 × 529,362
  4. Step 4: Simplify right side
    240,846x = 280,224,127,044
  5. Step 5: Solve for x
    x = 280,224,127,044/240,846
  6. Step 6: Final answer
    x = 1,163,499.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.