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Finding the Third Proportional to 352,899 and 546,844

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Solution

The third proportional to 352,899 and 546,844 is: 847,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,899 : 546,844 = 546,844 : x
  2. Step 2: Convert to fraction form
    352,899/546,844 = 546,844/x
  3. Step 3: Cross multiply
    352,899x = 546,844 × 546,844
  4. Step 4: Simplify right side
    352,899x = 299,038,360,336
  5. Step 5: Solve for x
    x = 299,038,360,336/352,899
  6. Step 6: Final answer
    x = 847,376.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.