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Finding the Third Proportional to 292,264.50 and 628,201

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Solution

The third proportional to 292,264.50 and 628,201 is: 1,350,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,264.50 : 628,201 = 628,201 : x
  2. Step 2: Convert to fraction form
    292,264.50/628,201 = 628,201/x
  3. Step 3: Cross multiply
    292,264.50x = 628,201 × 628,201
  4. Step 4: Simplify right side
    292,264.50x = 394,636,496,401
  5. Step 5: Solve for x
    x = 394,636,496,401/292,264.50
  6. Step 6: Final answer
    x = 1,350,271.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.