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Finding the Third Proportional to 478,268 and 714,846

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Solution

The third proportional to 478,268 and 714,846 is: 1,068,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,268 : 714,846 = 714,846 : x
  2. Step 2: Convert to fraction form
    478,268/714,846 = 714,846/x
  3. Step 3: Cross multiply
    478,268x = 714,846 × 714,846
  4. Step 4: Simplify right side
    478,268x = 511,004,803,716
  5. Step 5: Solve for x
    x = 511,004,803,716/478,268
  6. Step 6: Final answer
    x = 1,068,448.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.