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Finding the Third Proportional to 572,000 and 856,896

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Solution

The third proportional to 572,000 and 856,896 is: 1,283,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,000 : 856,896 = 856,896 : x
  2. Step 2: Convert to fraction form
    572,000/856,896 = 856,896/x
  3. Step 3: Cross multiply
    572,000x = 856,896 × 856,896
  4. Step 4: Simplify right side
    572,000x = 734,270,754,816
  5. Step 5: Solve for x
    x = 734,270,754,816/572,000
  6. Step 6: Final answer
    x = 1,283,690.13

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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.