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Finding the Third Proportional to 427,181.63 and 600,802.31

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Solution

The third proportional to 427,181.63 and 600,802.31 is: 844,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,181.63 : 600,802.31 = 600,802.31 : x
  2. Step 2: Convert to fraction form
    427,181.63/600,802.31 = 600,802.31/x
  3. Step 3: Cross multiply
    427,181.63x = 600,802.31 × 600,802.31
  4. Step 4: Simplify right side
    427,181.63x = 360,963,418,705.35
  5. Step 5: Solve for x
    x = 360,963,418,705.35/427,181.63
  6. Step 6: Final answer
    x = 844,988.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.