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Finding the Third Proportional to 301,083 and 412,852.50

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Solution

The third proportional to 301,083 and 412,852.50 is: 566,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,083 : 412,852.50 = 412,852.50 : x
  2. Step 2: Convert to fraction form
    301,083/412,852.50 = 412,852.50/x
  3. Step 3: Cross multiply
    301,083x = 412,852.50 × 412,852.50
  4. Step 4: Simplify right side
    301,083x = 170,447,186,756.25
  5. Step 5: Solve for x
    x = 170,447,186,756.25/301,083
  6. Step 6: Final answer
    x = 566,113.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.