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Finding the Third Proportional to 337,034 and 733,582

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Solution

The third proportional to 337,034 and 733,582 is: 1,596,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,034 : 733,582 = 733,582 : x
  2. Step 2: Convert to fraction form
    337,034/733,582 = 733,582/x
  3. Step 3: Cross multiply
    337,034x = 733,582 × 733,582
  4. Step 4: Simplify right side
    337,034x = 538,142,550,724
  5. Step 5: Solve for x
    x = 538,142,550,724/337,034
  6. Step 6: Final answer
    x = 1,596,701.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.