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Finding the Third Proportional to 621,516 and 959,746.50

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Solution

The third proportional to 621,516 and 959,746.50 is: 1,482,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,516 : 959,746.50 = 959,746.50 : x
  2. Step 2: Convert to fraction form
    621,516/959,746.50 = 959,746.50/x
  3. Step 3: Cross multiply
    621,516x = 959,746.50 × 959,746.50
  4. Step 4: Simplify right side
    621,516x = 921,113,344,262.25
  5. Step 5: Solve for x
    x = 921,113,344,262.25/621,516
  6. Step 6: Final answer
    x = 1,482,042.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.