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Finding the Third Proportional to 313,672 and 473,430

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Solution

The third proportional to 313,672 and 473,430 is: 714,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,672 : 473,430 = 473,430 : x
  2. Step 2: Convert to fraction form
    313,672/473,430 = 473,430/x
  3. Step 3: Cross multiply
    313,672x = 473,430 × 473,430
  4. Step 4: Simplify right side
    313,672x = 224,135,964,900
  5. Step 5: Solve for x
    x = 224,135,964,900/313,672
  6. Step 6: Final answer
    x = 714,555.22

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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.