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Finding the Third Proportional to 353,476 and 535,360

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Solution

The third proportional to 353,476 and 535,360 is: 810,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,476 : 535,360 = 535,360 : x
  2. Step 2: Convert to fraction form
    353,476/535,360 = 535,360/x
  3. Step 3: Cross multiply
    353,476x = 535,360 × 535,360
  4. Step 4: Simplify right side
    353,476x = 286,610,329,600
  5. Step 5: Solve for x
    x = 286,610,329,600/353,476
  6. Step 6: Final answer
    x = 810,833.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.