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Finding the Third Proportional to 374,760 and 492,030

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Solution

The third proportional to 374,760 and 492,030 is: 645,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,760 : 492,030 = 492,030 : x
  2. Step 2: Convert to fraction form
    374,760/492,030 = 492,030/x
  3. Step 3: Cross multiply
    374,760x = 492,030 × 492,030
  4. Step 4: Simplify right side
    374,760x = 242,093,520,900
  5. Step 5: Solve for x
    x = 242,093,520,900/374,760
  6. Step 6: Final answer
    x = 645,996.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.