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Finding the Third Proportional to 589,488 and 883,321

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Solution

The third proportional to 589,488 and 883,321 is: 1,323,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,488 : 883,321 = 883,321 : x
  2. Step 2: Convert to fraction form
    589,488/883,321 = 883,321/x
  3. Step 3: Cross multiply
    589,488x = 883,321 × 883,321
  4. Step 4: Simplify right side
    589,488x = 780,255,989,041
  5. Step 5: Solve for x
    x = 780,255,989,041/589,488
  6. Step 6: Final answer
    x = 1,323,616.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.