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Finding the Third Proportional to 297,143 and 460,302

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Solution

The third proportional to 297,143 and 460,302 is: 713,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,143 : 460,302 = 460,302 : x
  2. Step 2: Convert to fraction form
    297,143/460,302 = 460,302/x
  3. Step 3: Cross multiply
    297,143x = 460,302 × 460,302
  4. Step 4: Simplify right side
    297,143x = 211,877,931,204
  5. Step 5: Solve for x
    x = 211,877,931,204/297,143
  6. Step 6: Final answer
    x = 713,050.39

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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.