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Finding the Third Proportional to 313,397.44 and 676,670.63

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Solution

The third proportional to 313,397.44 and 676,670.63 is: 1,461,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,397.44 : 676,670.63 = 676,670.63 : x
  2. Step 2: Convert to fraction form
    313,397.44/676,670.63 = 676,670.63/x
  3. Step 3: Cross multiply
    313,397.44x = 676,670.63 × 676,670.63
  4. Step 4: Simplify right side
    313,397.44x = 457,883,134,737.89
  5. Step 5: Solve for x
    x = 457,883,134,737.89/313,397.44
  6. Step 6: Final answer
    x = 1,461,030.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.