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Finding the Third Proportional to 341,064 and 535,026

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Solution

The third proportional to 341,064 and 535,026 is: 839,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,064 : 535,026 = 535,026 : x
  2. Step 2: Convert to fraction form
    341,064/535,026 = 535,026/x
  3. Step 3: Cross multiply
    341,064x = 535,026 × 535,026
  4. Step 4: Simplify right side
    341,064x = 286,252,820,676
  5. Step 5: Solve for x
    x = 286,252,820,676/341,064
  6. Step 6: Final answer
    x = 839,293.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.