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Finding the Third Proportional to 432,362 and 946,172.50

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Solution

The third proportional to 432,362 and 946,172.50 is: 2,070,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,362 : 946,172.50 = 946,172.50 : x
  2. Step 2: Convert to fraction form
    432,362/946,172.50 = 946,172.50/x
  3. Step 3: Cross multiply
    432,362x = 946,172.50 × 946,172.50
  4. Step 4: Simplify right side
    432,362x = 895,242,399,756.25
  5. Step 5: Solve for x
    x = 895,242,399,756.25/432,362
  6. Step 6: Final answer
    x = 2,070,585.30

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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.