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Finding the Third Proportional to 313,588 and 473,302

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Solution

The third proportional to 313,588 and 473,302 is: 714,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,588 : 473,302 = 473,302 : x
  2. Step 2: Convert to fraction form
    313,588/473,302 = 473,302/x
  3. Step 3: Cross multiply
    313,588x = 473,302 × 473,302
  4. Step 4: Simplify right side
    313,588x = 224,014,783,204
  5. Step 5: Solve for x
    x = 224,014,783,204/313,588
  6. Step 6: Final answer
    x = 714,360.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.