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Finding the Third Proportional to 295,600 and 432,912

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Solution

The third proportional to 295,600 and 432,912 is: 634,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,600 : 432,912 = 432,912 : x
  2. Step 2: Convert to fraction form
    295,600/432,912 = 432,912/x
  3. Step 3: Cross multiply
    295,600x = 432,912 × 432,912
  4. Step 4: Simplify right side
    295,600x = 187,412,799,744
  5. Step 5: Solve for x
    x = 187,412,799,744/295,600
  6. Step 6: Final answer
    x = 634,008.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.