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Finding the Third Proportional to 598,526 and 839,853

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Solution

The third proportional to 598,526 and 839,853 is: 1,178,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,526 : 839,853 = 839,853 : x
  2. Step 2: Convert to fraction form
    598,526/839,853 = 839,853/x
  3. Step 3: Cross multiply
    598,526x = 839,853 × 839,853
  4. Step 4: Simplify right side
    598,526x = 705,353,061,609
  5. Step 5: Solve for x
    x = 705,353,061,609/598,526
  6. Step 6: Final answer
    x = 1,178,483.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.