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Finding the Third Proportional to 374,881.50 and 548,343

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Solution

The third proportional to 374,881.50 and 548,343 is: 802,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,881.50 : 548,343 = 548,343 : x
  2. Step 2: Convert to fraction form
    374,881.50/548,343 = 548,343/x
  3. Step 3: Cross multiply
    374,881.50x = 548,343 × 548,343
  4. Step 4: Simplify right side
    374,881.50x = 300,680,045,649
  5. Step 5: Solve for x
    x = 300,680,045,649/374,881.50
  6. Step 6: Final answer
    x = 802,066.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.