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Finding the Third Proportional to 589,666.50 and 883,578.38

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Solution

The third proportional to 589,666.50 and 883,578.38 is: 1,323,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,666.50 : 883,578.38 = 883,578.38 : x
  2. Step 2: Convert to fraction form
    589,666.50/883,578.38 = 883,578.38/x
  3. Step 3: Cross multiply
    589,666.50x = 883,578.38 × 883,578.38
  4. Step 4: Simplify right side
    589,666.50x = 780,710,744,767.64
  5. Step 5: Solve for x
    x = 780,710,744,767.64/589,666.50
  6. Step 6: Final answer
    x = 1,323,986.94

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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.