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Finding the Third Proportional to 434,127 and 619,266

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Solution

The third proportional to 434,127 and 619,266 is: 883,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,127 : 619,266 = 619,266 : x
  2. Step 2: Convert to fraction form
    434,127/619,266 = 619,266/x
  3. Step 3: Cross multiply
    434,127x = 619,266 × 619,266
  4. Step 4: Simplify right side
    434,127x = 383,490,378,756
  5. Step 5: Solve for x
    x = 383,490,378,756/434,127
  6. Step 6: Final answer
    x = 883,359.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.