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Finding the Third Proportional to 271,920.50 and 583,207

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Solution

The third proportional to 271,920.50 and 583,207 is: 1,250,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,920.50 : 583,207 = 583,207 : x
  2. Step 2: Convert to fraction form
    271,920.50/583,207 = 583,207/x
  3. Step 3: Cross multiply
    271,920.50x = 583,207 × 583,207
  4. Step 4: Simplify right side
    271,920.50x = 340,130,404,849
  5. Step 5: Solve for x
    x = 340,130,404,849/271,920.50
  6. Step 6: Final answer
    x = 1,250,845.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.