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Finding the Third Proportional to 463,144 and 692,768

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Solution

The third proportional to 463,144 and 692,768 is: 1,036,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,144 : 692,768 = 692,768 : x
  2. Step 2: Convert to fraction form
    463,144/692,768 = 692,768/x
  3. Step 3: Cross multiply
    463,144x = 692,768 × 692,768
  4. Step 4: Simplify right side
    463,144x = 479,927,501,824
  5. Step 5: Solve for x
    x = 479,927,501,824/463,144
  6. Step 6: Final answer
    x = 1,036,238.19

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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.