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Finding the Third Proportional to 250,492.50 and 509,729.63

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Solution

The third proportional to 250,492.50 and 509,729.63 is: 1,037,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,492.50 : 509,729.63 = 509,729.63 : x
  2. Step 2: Convert to fraction form
    250,492.50/509,729.63 = 509,729.63/x
  3. Step 3: Cross multiply
    250,492.50x = 509,729.63 × 509,729.63
  4. Step 4: Simplify right side
    250,492.50x = 259,824,290,602.64
  5. Step 5: Solve for x
    x = 259,824,290,602.64/250,492.50
  6. Step 6: Final answer
    x = 1,037,253.77

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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.