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Finding the Third Proportional to 297,752 and 648,952

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Solution

The third proportional to 297,752 and 648,952 is: 1,414,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,752 : 648,952 = 648,952 : x
  2. Step 2: Convert to fraction form
    297,752/648,952 = 648,952/x
  3. Step 3: Cross multiply
    297,752x = 648,952 × 648,952
  4. Step 4: Simplify right side
    297,752x = 421,138,698,304
  5. Step 5: Solve for x
    x = 421,138,698,304/297,752
  6. Step 6: Final answer
    x = 1,414,394.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.