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Finding the Third Proportional to 556,806 and 846,276

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Solution

The third proportional to 556,806 and 846,276 is: 1,286,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,806 : 846,276 = 846,276 : x
  2. Step 2: Convert to fraction form
    556,806/846,276 = 846,276/x
  3. Step 3: Cross multiply
    556,806x = 846,276 × 846,276
  4. Step 4: Simplify right side
    556,806x = 716,183,068,176
  5. Step 5: Solve for x
    x = 716,183,068,176/556,806
  6. Step 6: Final answer
    x = 1,286,234.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.