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Finding the Third Proportional to 634,568 and 934,284

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Solution

The third proportional to 634,568 and 934,284 is: 1,375,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,568 : 934,284 = 934,284 : x
  2. Step 2: Convert to fraction form
    634,568/934,284 = 934,284/x
  3. Step 3: Cross multiply
    634,568x = 934,284 × 934,284
  4. Step 4: Simplify right side
    634,568x = 872,886,592,656
  5. Step 5: Solve for x
    x = 872,886,592,656/634,568
  6. Step 6: Final answer
    x = 1,375,560.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.