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Finding the Third Proportional to 296,367 and 648,948

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Solution

The third proportional to 296,367 and 648,948 is: 1,420,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,367 : 648,948 = 648,948 : x
  2. Step 2: Convert to fraction form
    296,367/648,948 = 648,948/x
  3. Step 3: Cross multiply
    296,367x = 648,948 × 648,948
  4. Step 4: Simplify right side
    296,367x = 421,133,506,704
  5. Step 5: Solve for x
    x = 421,133,506,704/296,367
  6. Step 6: Final answer
    x = 1,420,986.50

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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.