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Finding the Third Proportional to 381,973.50 and 832,428

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Solution

The third proportional to 381,973.50 and 832,428 is: 1,814,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,973.50 : 832,428 = 832,428 : x
  2. Step 2: Convert to fraction form
    381,973.50/832,428 = 832,428/x
  3. Step 3: Cross multiply
    381,973.50x = 832,428 × 832,428
  4. Step 4: Simplify right side
    381,973.50x = 692,936,375,184
  5. Step 5: Solve for x
    x = 692,936,375,184/381,973.50
  6. Step 6: Final answer
    x = 1,814,095.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.