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Finding the Third Proportional to 353,571 and 535,492.50

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Solution

The third proportional to 353,571 and 535,492.50 is: 811,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,571 : 535,492.50 = 535,492.50 : x
  2. Step 2: Convert to fraction form
    353,571/535,492.50 = 535,492.50/x
  3. Step 3: Cross multiply
    353,571x = 535,492.50 × 535,492.50
  4. Step 4: Simplify right side
    353,571x = 286,752,217,556.25
  5. Step 5: Solve for x
    x = 286,752,217,556.25/353,571
  6. Step 6: Final answer
    x = 811,017.36

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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.