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Finding the Third Proportional to 443,432.50 and 972,703.75

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Solution

The third proportional to 443,432.50 and 972,703.75 is: 2,133,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,432.50 : 972,703.75 = 972,703.75 : x
  2. Step 2: Convert to fraction form
    443,432.50/972,703.75 = 972,703.75/x
  3. Step 3: Cross multiply
    443,432.50x = 972,703.75 × 972,703.75
  4. Step 4: Simplify right side
    443,432.50x = 946,152,585,264.06
  5. Step 5: Solve for x
    x = 946,152,585,264.06/443,432.50
  6. Step 6: Final answer
    x = 2,133,701.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.