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Finding the Third Proportional to 431,368 and 937,255

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Solution

The third proportional to 431,368 and 937,255 is: 2,036,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,368 : 937,255 = 937,255 : x
  2. Step 2: Convert to fraction form
    431,368/937,255 = 937,255/x
  3. Step 3: Cross multiply
    431,368x = 937,255 × 937,255
  4. Step 4: Simplify right side
    431,368x = 878,446,935,025
  5. Step 5: Solve for x
    x = 878,446,935,025/431,368
  6. Step 6: Final answer
    x = 2,036,421.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.