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Finding the Third Proportional to 506,275 and 739,416

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Solution

The third proportional to 506,275 and 739,416 is: 1,079,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,275 : 739,416 = 739,416 : x
  2. Step 2: Convert to fraction form
    506,275/739,416 = 739,416/x
  3. Step 3: Cross multiply
    506,275x = 739,416 × 739,416
  4. Step 4: Simplify right side
    506,275x = 546,736,021,056
  5. Step 5: Solve for x
    x = 546,736,021,056/506,275
  6. Step 6: Final answer
    x = 1,079,919.06

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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.