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Finding the Third Proportional to 438,588 and 911,650.50

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Solution

The third proportional to 438,588 and 911,650.50 is: 1,894,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,588 : 911,650.50 = 911,650.50 : x
  2. Step 2: Convert to fraction form
    438,588/911,650.50 = 911,650.50/x
  3. Step 3: Cross multiply
    438,588x = 911,650.50 × 911,650.50
  4. Step 4: Simplify right side
    438,588x = 831,106,634,150.25
  5. Step 5: Solve for x
    x = 831,106,634,150.25/438,588
  6. Step 6: Final answer
    x = 1,894,959.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.