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Finding the Third Proportional to 421,501.50 and 660,487.50

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Solution

The third proportional to 421,501.50 and 660,487.50 is: 1,034,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,501.50 : 660,487.50 = 660,487.50 : x
  2. Step 2: Convert to fraction form
    421,501.50/660,487.50 = 660,487.50/x
  3. Step 3: Cross multiply
    421,501.50x = 660,487.50 × 660,487.50
  4. Step 4: Simplify right side
    421,501.50x = 436,243,737,656.25
  5. Step 5: Solve for x
    x = 436,243,737,656.25/421,501.50
  6. Step 6: Final answer
    x = 1,034,975.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.