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Finding the Third Proportional to 297,008 and 460,308

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Solution

The third proportional to 297,008 and 460,308 is: 713,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,008 : 460,308 = 460,308 : x
  2. Step 2: Convert to fraction form
    297,008/460,308 = 460,308/x
  3. Step 3: Cross multiply
    297,008x = 460,308 × 460,308
  4. Step 4: Simplify right side
    297,008x = 211,883,454,864
  5. Step 5: Solve for x
    x = 211,883,454,864/297,008
  6. Step 6: Final answer
    x = 713,393.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.