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Finding the Third Proportional to 342,930 and 462,595.50

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Solution

The third proportional to 342,930 and 462,595.50 is: 624,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,930 : 462,595.50 = 462,595.50 : x
  2. Step 2: Convert to fraction form
    342,930/462,595.50 = 462,595.50/x
  3. Step 3: Cross multiply
    342,930x = 462,595.50 × 462,595.50
  4. Step 4: Simplify right side
    342,930x = 213,994,596,620.25
  5. Step 5: Solve for x
    x = 213,994,596,620.25/342,930
  6. Step 6: Final answer
    x = 624,018.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.