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Finding the Third Proportional to 506,116 and 743,944

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Solution

The third proportional to 506,116 and 743,944 is: 1,093,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,116 : 743,944 = 743,944 : x
  2. Step 2: Convert to fraction form
    506,116/743,944 = 743,944/x
  3. Step 3: Cross multiply
    506,116x = 743,944 × 743,944
  4. Step 4: Simplify right side
    506,116x = 553,452,675,136
  5. Step 5: Solve for x
    x = 553,452,675,136/506,116
  6. Step 6: Final answer
    x = 1,093,529.30

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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.