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Finding the Third Proportional to 373,428 and 806,148

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Solution

The third proportional to 373,428 and 806,148 is: 1,740,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,428 : 806,148 = 806,148 : x
  2. Step 2: Convert to fraction form
    373,428/806,148 = 806,148/x
  3. Step 3: Cross multiply
    373,428x = 806,148 × 806,148
  4. Step 4: Simplify right side
    373,428x = 649,874,597,904
  5. Step 5: Solve for x
    x = 649,874,597,904/373,428
  6. Step 6: Final answer
    x = 1,740,294.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.