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Finding the Third Proportional to 432,820.13 and 945,270

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Solution

The third proportional to 432,820.13 and 945,270 is: 2,064,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,820.13 : 945,270 = 945,270 : x
  2. Step 2: Convert to fraction form
    432,820.13/945,270 = 945,270/x
  3. Step 3: Cross multiply
    432,820.13x = 945,270 × 945,270
  4. Step 4: Simplify right side
    432,820.13x = 893,535,372,900
  5. Step 5: Solve for x
    x = 893,535,372,900/432,820.13
  6. Step 6: Final answer
    x = 2,064,449.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.