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Finding the Third Proportional to 566,439 and 911,623.50

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Solution

The third proportional to 566,439 and 911,623.50 is: 1,467,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,439 : 911,623.50 = 911,623.50 : x
  2. Step 2: Convert to fraction form
    566,439/911,623.50 = 911,623.50/x
  3. Step 3: Cross multiply
    566,439x = 911,623.50 × 911,623.50
  4. Step 4: Simplify right side
    566,439x = 831,057,405,752.25
  5. Step 5: Solve for x
    x = 831,057,405,752.25/566,439
  6. Step 6: Final answer
    x = 1,467,161.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.