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Finding the Third Proportional to 429,723 and 910,672.50

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Solution

The third proportional to 429,723 and 910,672.50 is: 1,929,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,723 : 910,672.50 = 910,672.50 : x
  2. Step 2: Convert to fraction form
    429,723/910,672.50 = 910,672.50/x
  3. Step 3: Cross multiply
    429,723x = 910,672.50 × 910,672.50
  4. Step 4: Simplify right side
    429,723x = 829,324,402,256.25
  5. Step 5: Solve for x
    x = 829,324,402,256.25/429,723
  6. Step 6: Final answer
    x = 1,929,904.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.