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Finding the Third Proportional to 353,466 and 535,347

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Solution

The third proportional to 353,466 and 535,347 is: 810,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,466 : 535,347 = 535,347 : x
  2. Step 2: Convert to fraction form
    353,466/535,347 = 535,347/x
  3. Step 3: Cross multiply
    353,466x = 535,347 × 535,347
  4. Step 4: Simplify right side
    353,466x = 286,596,410,409
  5. Step 5: Solve for x
    x = 286,596,410,409/353,466
  6. Step 6: Final answer
    x = 810,817.48

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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.