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Finding the Third Proportional to 341,590 and 733,724

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Solution

The third proportional to 341,590 and 733,724 is: 1,576,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,590 : 733,724 = 733,724 : x
  2. Step 2: Convert to fraction form
    341,590/733,724 = 733,724/x
  3. Step 3: Cross multiply
    341,590x = 733,724 × 733,724
  4. Step 4: Simplify right side
    341,590x = 538,350,908,176
  5. Step 5: Solve for x
    x = 538,350,908,176/341,590
  6. Step 6: Final answer
    x = 1,576,014.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.