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Finding the Third Proportional to 294,362 and 655,342

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Solution

The third proportional to 294,362 and 655,342 is: 1,458,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,362 : 655,342 = 655,342 : x
  2. Step 2: Convert to fraction form
    294,362/655,342 = 655,342/x
  3. Step 3: Cross multiply
    294,362x = 655,342 × 655,342
  4. Step 4: Simplify right side
    294,362x = 429,473,136,964
  5. Step 5: Solve for x
    x = 429,473,136,964/294,362
  6. Step 6: Final answer
    x = 1,458,996.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.