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Finding the Third Proportional to 245,818 and 536,132

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Solution

The third proportional to 245,818 and 536,132 is: 1,169,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,818 : 536,132 = 536,132 : x
  2. Step 2: Convert to fraction form
    245,818/536,132 = 536,132/x
  3. Step 3: Cross multiply
    245,818x = 536,132 × 536,132
  4. Step 4: Simplify right side
    245,818x = 287,437,521,424
  5. Step 5: Solve for x
    x = 287,437,521,424/245,818
  6. Step 6: Final answer
    x = 1,169,310.31

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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.