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Finding the Third Proportional to 429,968 and 895,224

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Solution

The third proportional to 429,968 and 895,224 is: 1,863,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,968 : 895,224 = 895,224 : x
  2. Step 2: Convert to fraction form
    429,968/895,224 = 895,224/x
  3. Step 3: Cross multiply
    429,968x = 895,224 × 895,224
  4. Step 4: Simplify right side
    429,968x = 801,426,010,176
  5. Step 5: Solve for x
    x = 801,426,010,176/429,968
  6. Step 6: Final answer
    x = 1,863,920.13

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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.