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Finding the Third Proportional to 297,016 and 460,319

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Solution

The third proportional to 297,016 and 460,319 is: 713,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,016 : 460,319 = 460,319 : x
  2. Step 2: Convert to fraction form
    297,016/460,319 = 460,319/x
  3. Step 3: Cross multiply
    297,016x = 460,319 × 460,319
  4. Step 4: Simplify right side
    297,016x = 211,893,581,761
  5. Step 5: Solve for x
    x = 211,893,581,761/297,016
  6. Step 6: Final answer
    x = 713,407.97

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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.