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Finding the Third Proportional to 603,427.50 and 911,292

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Solution

The third proportional to 603,427.50 and 911,292 is: 1,376,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,427.50 : 911,292 = 911,292 : x
  2. Step 2: Convert to fraction form
    603,427.50/911,292 = 911,292/x
  3. Step 3: Cross multiply
    603,427.50x = 911,292 × 911,292
  4. Step 4: Simplify right side
    603,427.50x = 830,453,109,264
  5. Step 5: Solve for x
    x = 830,453,109,264/603,427.50
  6. Step 6: Final answer
    x = 1,376,226.82

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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.