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Finding the Third Proportional to 296,369 and 648,952

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Solution

The third proportional to 296,369 and 648,952 is: 1,420,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,369 : 648,952 = 648,952 : x
  2. Step 2: Convert to fraction form
    296,369/648,952 = 648,952/x
  3. Step 3: Cross multiply
    296,369x = 648,952 × 648,952
  4. Step 4: Simplify right side
    296,369x = 421,138,698,304
  5. Step 5: Solve for x
    x = 421,138,698,304/296,369
  6. Step 6: Final answer
    x = 1,420,994.43

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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.