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Finding the Third Proportional to 213,927 and 332,590.50

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Solution

The third proportional to 213,927 and 332,590.50 is: 517,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,927 : 332,590.50 = 332,590.50 : x
  2. Step 2: Convert to fraction form
    213,927/332,590.50 = 332,590.50/x
  3. Step 3: Cross multiply
    213,927x = 332,590.50 × 332,590.50
  4. Step 4: Simplify right side
    213,927x = 110,616,440,690.25
  5. Step 5: Solve for x
    x = 110,616,440,690.25/213,927
  6. Step 6: Final answer
    x = 517,075.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.