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Finding the Third Proportional to 350,280 and 554,742

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Solution

The third proportional to 350,280 and 554,742 is: 878,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,280 : 554,742 = 554,742 : x
  2. Step 2: Convert to fraction form
    350,280/554,742 = 554,742/x
  3. Step 3: Cross multiply
    350,280x = 554,742 × 554,742
  4. Step 4: Simplify right side
    350,280x = 307,738,686,564
  5. Step 5: Solve for x
    x = 307,738,686,564/350,280
  6. Step 6: Final answer
    x = 878,550.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.