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Finding the Third Proportional to 341,348 and 535,407

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Solution

The third proportional to 341,348 and 535,407 is: 839,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,348 : 535,407 = 535,407 : x
  2. Step 2: Convert to fraction form
    341,348/535,407 = 535,407/x
  3. Step 3: Cross multiply
    341,348x = 535,407 × 535,407
  4. Step 4: Simplify right side
    341,348x = 286,660,655,649
  5. Step 5: Solve for x
    x = 286,660,655,649/341,348
  6. Step 6: Final answer
    x = 839,790.05

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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.