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Finding the Third Proportional to 365,148 and 786,996

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Solution

The third proportional to 365,148 and 786,996 is: 1,696,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,148 : 786,996 = 786,996 : x
  2. Step 2: Convert to fraction form
    365,148/786,996 = 786,996/x
  3. Step 3: Cross multiply
    365,148x = 786,996 × 786,996
  4. Step 4: Simplify right side
    365,148x = 619,362,704,016
  5. Step 5: Solve for x
    x = 619,362,704,016/365,148
  6. Step 6: Final answer
    x = 1,696,196.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.