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Finding the Third Proportional to 290,020 and 448,254

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Solution

The third proportional to 290,020 and 448,254 is: 692,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,020 : 448,254 = 448,254 : x
  2. Step 2: Convert to fraction form
    290,020/448,254 = 448,254/x
  3. Step 3: Cross multiply
    290,020x = 448,254 × 448,254
  4. Step 4: Simplify right side
    290,020x = 200,931,648,516
  5. Step 5: Solve for x
    x = 200,931,648,516/290,020
  6. Step 6: Final answer
    x = 692,819.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.