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Finding the Third Proportional to 432,421.03 and 946,285.03

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Solution

The third proportional to 432,421.03 and 946,285.03 is: 2,070,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,421.03 : 946,285.03 = 946,285.03 : x
  2. Step 2: Convert to fraction form
    432,421.03/946,285.03 = 946,285.03/x
  3. Step 3: Cross multiply
    432,421.03x = 946,285.03 × 946,285.03
  4. Step 4: Simplify right side
    432,421.03x = 895,455,360,367.81
  5. Step 5: Solve for x
    x = 895,455,360,367.81/432,421.03
  6. Step 6: Final answer
    x = 2,070,795.12

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Why These Related Problems?

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