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Finding the Third Proportional to 285,003 and 609,534

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Solution

The third proportional to 285,003 and 609,534 is: 1,303,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,003 : 609,534 = 609,534 : x
  2. Step 2: Convert to fraction form
    285,003/609,534 = 609,534/x
  3. Step 3: Cross multiply
    285,003x = 609,534 × 609,534
  4. Step 4: Simplify right side
    285,003x = 371,531,697,156
  5. Step 5: Solve for x
    x = 371,531,697,156/285,003
  6. Step 6: Final answer
    x = 1,303,606.27

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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.