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Finding the Third Proportional to 365,025 and 786,213

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Solution

The third proportional to 365,025 and 786,213 is: 1,693,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,025 : 786,213 = 786,213 : x
  2. Step 2: Convert to fraction form
    365,025/786,213 = 786,213/x
  3. Step 3: Cross multiply
    365,025x = 786,213 × 786,213
  4. Step 4: Simplify right side
    365,025x = 618,130,881,369
  5. Step 5: Solve for x
    x = 618,130,881,369/365,025
  6. Step 6: Final answer
    x = 1,693,393.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.