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Finding the Third Proportional to 297,030 and 650,202

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Solution

The third proportional to 297,030 and 650,202 is: 1,423,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,030 : 650,202 = 650,202 : x
  2. Step 2: Convert to fraction form
    297,030/650,202 = 650,202/x
  3. Step 3: Cross multiply
    297,030x = 650,202 × 650,202
  4. Step 4: Simplify right side
    297,030x = 422,762,640,804
  5. Step 5: Solve for x
    x = 422,762,640,804/297,030
  6. Step 6: Final answer
    x = 1,423,299.47

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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.