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Finding the Third Proportional to 553,382 and 846,131

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Solution

The third proportional to 553,382 and 846,131 is: 1,293,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,382 : 846,131 = 846,131 : x
  2. Step 2: Convert to fraction form
    553,382/846,131 = 846,131/x
  3. Step 3: Cross multiply
    553,382x = 846,131 × 846,131
  4. Step 4: Simplify right side
    553,382x = 715,937,669,161
  5. Step 5: Solve for x
    x = 715,937,669,161/553,382
  6. Step 6: Final answer
    x = 1,293,749.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.