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Finding the Third Proportional to 429,402.75 and 917,854.50

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Solution

The third proportional to 429,402.75 and 917,854.50 is: 1,961,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,402.75 : 917,854.50 = 917,854.50 : x
  2. Step 2: Convert to fraction form
    429,402.75/917,854.50 = 917,854.50/x
  3. Step 3: Cross multiply
    429,402.75x = 917,854.50 × 917,854.50
  4. Step 4: Simplify right side
    429,402.75x = 842,456,883,170.25
  5. Step 5: Solve for x
    x = 842,456,883,170.25/429,402.75
  6. Step 6: Final answer
    x = 1,961,927.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.