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Finding the Third Proportional to 429,732 and 910,688.63

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Solution

The third proportional to 429,732 and 910,688.63 is: 1,929,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,732 : 910,688.63 = 910,688.63 : x
  2. Step 2: Convert to fraction form
    429,732/910,688.63 = 910,688.63/x
  3. Step 3: Cross multiply
    429,732x = 910,688.63 × 910,688.63
  4. Step 4: Simplify right side
    429,732x = 829,353,771,704.39
  5. Step 5: Solve for x
    x = 829,353,771,704.39/429,732
  6. Step 6: Final answer
    x = 1,929,932.54

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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.