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Finding the Third Proportional to 516,944 and 772,318

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Solution

The third proportional to 516,944 and 772,318 is: 1,153,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,944 : 772,318 = 772,318 : x
  2. Step 2: Convert to fraction form
    516,944/772,318 = 772,318/x
  3. Step 3: Cross multiply
    516,944x = 772,318 × 772,318
  4. Step 4: Simplify right side
    516,944x = 596,475,093,124
  5. Step 5: Solve for x
    x = 596,475,093,124/516,944
  6. Step 6: Final answer
    x = 1,153,848.57

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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.