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Finding the Third Proportional to 209,717 and 333,577.50

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Solution

The third proportional to 209,717 and 333,577.50 is: 530,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,717 : 333,577.50 = 333,577.50 : x
  2. Step 2: Convert to fraction form
    209,717/333,577.50 = 333,577.50/x
  3. Step 3: Cross multiply
    209,717x = 333,577.50 × 333,577.50
  4. Step 4: Simplify right side
    209,717x = 111,273,948,506.25
  5. Step 5: Solve for x
    x = 111,273,948,506.25/209,717
  6. Step 6: Final answer
    x = 530,590.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.