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Finding the Third Proportional to 306,636 and 429,688.50

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Solution

The third proportional to 306,636 and 429,688.50 is: 602,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,636 : 429,688.50 = 429,688.50 : x
  2. Step 2: Convert to fraction form
    306,636/429,688.50 = 429,688.50/x
  3. Step 3: Cross multiply
    306,636x = 429,688.50 × 429,688.50
  4. Step 4: Simplify right side
    306,636x = 184,632,207,032.25
  5. Step 5: Solve for x
    x = 184,632,207,032.25/306,636
  6. Step 6: Final answer
    x = 602,121.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.