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Finding the Third Proportional to 438,621.75 and 911,709

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Solution

The third proportional to 438,621.75 and 911,709 is: 1,895,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,621.75 : 911,709 = 911,709 : x
  2. Step 2: Convert to fraction form
    438,621.75/911,709 = 911,709/x
  3. Step 3: Cross multiply
    438,621.75x = 911,709 × 911,709
  4. Step 4: Simplify right side
    438,621.75x = 831,213,300,681
  5. Step 5: Solve for x
    x = 831,213,300,681/438,621.75
  6. Step 6: Final answer
    x = 1,895,057.19

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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.