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Finding the Third Proportional to 429,088 and 915,152

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Solution

The third proportional to 429,088 and 915,152 is: 1,951,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,088 : 915,152 = 915,152 : x
  2. Step 2: Convert to fraction form
    429,088/915,152 = 915,152/x
  3. Step 3: Cross multiply
    429,088x = 915,152 × 915,152
  4. Step 4: Simplify right side
    429,088x = 837,503,183,104
  5. Step 5: Solve for x
    x = 837,503,183,104/429,088
  6. Step 6: Final answer
    x = 1,951,821.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.