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Finding the Third Proportional to 296,868 and 460,020

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Solution

The third proportional to 296,868 and 460,020 is: 712,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,868 : 460,020 = 460,020 : x
  2. Step 2: Convert to fraction form
    296,868/460,020 = 460,020/x
  3. Step 3: Cross multiply
    296,868x = 460,020 × 460,020
  4. Step 4: Simplify right side
    296,868x = 211,618,400,400
  5. Step 5: Solve for x
    x = 211,618,400,400/296,868
  6. Step 6: Final answer
    x = 712,836.68

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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.