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Finding the Third Proportional to 365,000 and 534,896

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Solution

The third proportional to 365,000 and 534,896 is: 783,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,000 : 534,896 = 534,896 : x
  2. Step 2: Convert to fraction form
    365,000/534,896 = 534,896/x
  3. Step 3: Cross multiply
    365,000x = 534,896 × 534,896
  4. Step 4: Simplify right side
    365,000x = 286,113,730,816
  5. Step 5: Solve for x
    x = 286,113,730,816/365,000
  6. Step 6: Final answer
    x = 783,873.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.