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Finding the Third Proportional to 295,369 and 436,816

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Solution

The third proportional to 295,369 and 436,816 is: 645,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,369 : 436,816 = 436,816 : x
  2. Step 2: Convert to fraction form
    295,369/436,816 = 436,816/x
  3. Step 3: Cross multiply
    295,369x = 436,816 × 436,816
  4. Step 4: Simplify right side
    295,369x = 190,808,217,856
  5. Step 5: Solve for x
    x = 190,808,217,856/295,369
  6. Step 6: Final answer
    x = 645,999.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.