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Finding the Third Proportional to 250,477.31 and 509,702.63

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Solution

The third proportional to 250,477.31 and 509,702.63 is: 1,037,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,477.31 : 509,702.63 = 509,702.63 : x
  2. Step 2: Convert to fraction form
    250,477.31/509,702.63 = 509,702.63/x
  3. Step 3: Cross multiply
    250,477.31x = 509,702.63 × 509,702.63
  4. Step 4: Simplify right side
    250,477.31x = 259,796,765,931.89
  5. Step 5: Solve for x
    x = 259,796,765,931.89/250,477.31
  6. Step 6: Final answer
    x = 1,037,206.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.