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Finding the Third Proportional to 350,217 and 535,492.50

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Solution

The third proportional to 350,217 and 535,492.50 is: 818,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,217 : 535,492.50 = 535,492.50 : x
  2. Step 2: Convert to fraction form
    350,217/535,492.50 = 535,492.50/x
  3. Step 3: Cross multiply
    350,217x = 535,492.50 × 535,492.50
  4. Step 4: Simplify right side
    350,217x = 286,752,217,556.25
  5. Step 5: Solve for x
    x = 286,752,217,556.25/350,217
  6. Step 6: Final answer
    x = 818,784.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.