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Finding the Third Proportional to 377,996 and 609,046

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Solution

The third proportional to 377,996 and 609,046 is: 981,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,996 : 609,046 = 609,046 : x
  2. Step 2: Convert to fraction form
    377,996/609,046 = 609,046/x
  3. Step 3: Cross multiply
    377,996x = 609,046 × 609,046
  4. Step 4: Simplify right side
    377,996x = 370,937,030,116
  5. Step 5: Solve for x
    x = 370,937,030,116/377,996
  6. Step 6: Final answer
    x = 981,325.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.