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Finding the Third Proportional to 285,502 and 444,603

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Solution

The third proportional to 285,502 and 444,603 is: 692,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,502 : 444,603 = 444,603 : x
  2. Step 2: Convert to fraction form
    285,502/444,603 = 444,603/x
  3. Step 3: Cross multiply
    285,502x = 444,603 × 444,603
  4. Step 4: Simplify right side
    285,502x = 197,671,827,609
  5. Step 5: Solve for x
    x = 197,671,827,609/285,502
  6. Step 6: Final answer
    x = 692,365.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.