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Finding the Third Proportional to 297,018 and 460,322

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Solution

The third proportional to 297,018 and 460,322 is: 713,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,018 : 460,322 = 460,322 : x
  2. Step 2: Convert to fraction form
    297,018/460,322 = 460,322/x
  3. Step 3: Cross multiply
    297,018x = 460,322 × 460,322
  4. Step 4: Simplify right side
    297,018x = 211,896,343,684
  5. Step 5: Solve for x
    x = 211,896,343,684/297,018
  6. Step 6: Final answer
    x = 713,412.47

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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.