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Finding the Third Proportional to 425,088 and 929,232

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Solution

The third proportional to 425,088 and 929,232 is: 2,031,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,088 : 929,232 = 929,232 : x
  2. Step 2: Convert to fraction form
    425,088/929,232 = 929,232/x
  3. Step 3: Cross multiply
    425,088x = 929,232 × 929,232
  4. Step 4: Simplify right side
    425,088x = 863,472,109,824
  5. Step 5: Solve for x
    x = 863,472,109,824/425,088
  6. Step 6: Final answer
    x = 2,031,278.49

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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.