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Finding the Third Proportional to 375,516 and 782,095.50

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Solution

The third proportional to 375,516 and 782,095.50 is: 1,628,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,516 : 782,095.50 = 782,095.50 : x
  2. Step 2: Convert to fraction form
    375,516/782,095.50 = 782,095.50/x
  3. Step 3: Cross multiply
    375,516x = 782,095.50 × 782,095.50
  4. Step 4: Simplify right side
    375,516x = 611,673,371,120.25
  5. Step 5: Solve for x
    x = 611,673,371,120.25/375,516
  6. Step 6: Final answer
    x = 1,628,887.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.