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Finding the Third Proportional to 545,152 and 845,184

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Solution

The third proportional to 545,152 and 845,184 is: 1,310,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,152 : 845,184 = 845,184 : x
  2. Step 2: Convert to fraction form
    545,152/845,184 = 845,184/x
  3. Step 3: Cross multiply
    545,152x = 845,184 × 845,184
  4. Step 4: Simplify right side
    545,152x = 714,335,993,856
  5. Step 5: Solve for x
    x = 714,335,993,856/545,152
  6. Step 6: Final answer
    x = 1,310,342.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.