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Finding the Third Proportional to 429,972 and 895,232

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Solution

The third proportional to 429,972 and 895,232 is: 1,863,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,972 : 895,232 = 895,232 : x
  2. Step 2: Convert to fraction form
    429,972/895,232 = 895,232/x
  3. Step 3: Cross multiply
    429,972x = 895,232 × 895,232
  4. Step 4: Simplify right side
    429,972x = 801,440,333,824
  5. Step 5: Solve for x
    x = 801,440,333,824/429,972
  6. Step 6: Final answer
    x = 1,863,936.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.