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Finding the Third Proportional to 506,268 and 739,410

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Solution

The third proportional to 506,268 and 739,410 is: 1,079,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,268 : 739,410 = 739,410 : x
  2. Step 2: Convert to fraction form
    506,268/739,410 = 739,410/x
  3. Step 3: Cross multiply
    506,268x = 739,410 × 739,410
  4. Step 4: Simplify right side
    506,268x = 546,727,148,100
  5. Step 5: Solve for x
    x = 546,727,148,100/506,268
  6. Step 6: Final answer
    x = 1,079,916.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.