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Finding the Third Proportional to 294,096 and 644,202

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Solution

The third proportional to 294,096 and 644,202 is: 1,411,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,096 : 644,202 = 644,202 : x
  2. Step 2: Convert to fraction form
    294,096/644,202 = 644,202/x
  3. Step 3: Cross multiply
    294,096x = 644,202 × 644,202
  4. Step 4: Simplify right side
    294,096x = 414,996,216,804
  5. Step 5: Solve for x
    x = 414,996,216,804/294,096
  6. Step 6: Final answer
    x = 1,411,090.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.