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Finding the Third Proportional to 299,946.84 and 424,415.76

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Solution

The third proportional to 299,946.84 and 424,415.76 is: 600,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,946.84 : 424,415.76 = 424,415.76 : x
  2. Step 2: Convert to fraction form
    299,946.84/424,415.76 = 424,415.76/x
  3. Step 3: Cross multiply
    299,946.84x = 424,415.76 × 424,415.76
  4. Step 4: Simplify right side
    299,946.84x = 180,128,733,407.22
  5. Step 5: Solve for x
    x = 180,128,733,407.22/299,946.84
  6. Step 6: Final answer
    x = 600,535.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.