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Finding the Third Proportional to 512,602 and 776,556

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Solution

The third proportional to 512,602 and 776,556 is: 1,176,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,602 : 776,556 = 776,556 : x
  2. Step 2: Convert to fraction form
    512,602/776,556 = 776,556/x
  3. Step 3: Cross multiply
    512,602x = 776,556 × 776,556
  4. Step 4: Simplify right side
    512,602x = 603,039,221,136
  5. Step 5: Solve for x
    x = 603,039,221,136/512,602
  6. Step 6: Final answer
    x = 1,176,427.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.