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Finding the Third Proportional to 338,518.50 and 535,521

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Solution

The third proportional to 338,518.50 and 535,521 is: 847,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,518.50 : 535,521 = 535,521 : x
  2. Step 2: Convert to fraction form
    338,518.50/535,521 = 535,521/x
  3. Step 3: Cross multiply
    338,518.50x = 535,521 × 535,521
  4. Step 4: Simplify right side
    338,518.50x = 286,782,741,441
  5. Step 5: Solve for x
    x = 286,782,741,441/338,518.50
  6. Step 6: Final answer
    x = 847,170.07

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.