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Finding the Third Proportional to 285,004 and 609,829

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Solution

The third proportional to 285,004 and 609,829 is: 1,304,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,004 : 609,829 = 609,829 : x
  2. Step 2: Convert to fraction form
    285,004/609,829 = 609,829/x
  3. Step 3: Cross multiply
    285,004x = 609,829 × 609,829
  4. Step 4: Simplify right side
    285,004x = 371,891,409,241
  5. Step 5: Solve for x
    x = 371,891,409,241/285,004
  6. Step 6: Final answer
    x = 1,304,863.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.