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Finding the Third Proportional to 298,903.50 and 646,650

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Solution

The third proportional to 298,903.50 and 646,650 is: 1,398,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,903.50 : 646,650 = 646,650 : x
  2. Step 2: Convert to fraction form
    298,903.50/646,650 = 646,650/x
  3. Step 3: Cross multiply
    298,903.50x = 646,650 × 646,650
  4. Step 4: Simplify right side
    298,903.50x = 418,156,222,500
  5. Step 5: Solve for x
    x = 418,156,222,500/298,903.50
  6. Step 6: Final answer
    x = 1,398,967.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.