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Finding the Third Proportional to 296,316 and 648,846

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Solution

The third proportional to 296,316 and 648,846 is: 1,420,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,316 : 648,846 = 648,846 : x
  2. Step 2: Convert to fraction form
    296,316/648,846 = 648,846/x
  3. Step 3: Cross multiply
    296,316x = 648,846 × 648,846
  4. Step 4: Simplify right side
    296,316x = 421,001,131,716
  5. Step 5: Solve for x
    x = 421,001,131,716/296,316
  6. Step 6: Final answer
    x = 1,420,784.34

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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.