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Finding the Third Proportional to 437,508 and 957,312

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Solution

The third proportional to 437,508 and 957,312 is: 2,094,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,508 : 957,312 = 957,312 : x
  2. Step 2: Convert to fraction form
    437,508/957,312 = 957,312/x
  3. Step 3: Cross multiply
    437,508x = 957,312 × 957,312
  4. Step 4: Simplify right side
    437,508x = 916,446,265,344
  5. Step 5: Solve for x
    x = 916,446,265,344/437,508
  6. Step 6: Final answer
    x = 2,094,696.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.