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Finding the Third Proportional to 582,133.50 and 883,038.38

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Solution

The third proportional to 582,133.50 and 883,038.38 is: 1,339,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,133.50 : 883,038.38 = 883,038.38 : x
  2. Step 2: Convert to fraction form
    582,133.50/883,038.38 = 883,038.38/x
  3. Step 3: Cross multiply
    582,133.50x = 883,038.38 × 883,038.38
  4. Step 4: Simplify right side
    582,133.50x = 779,756,771,722.64
  5. Step 5: Solve for x
    x = 779,756,771,722.64/582,133.50
  6. Step 6: Final answer
    x = 1,339,481.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.