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Finding the Third Proportional to 445,025.50 and 688,657

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Solution

The third proportional to 445,025.50 and 688,657 is: 1,065,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,025.50 : 688,657 = 688,657 : x
  2. Step 2: Convert to fraction form
    445,025.50/688,657 = 688,657/x
  3. Step 3: Cross multiply
    445,025.50x = 688,657 × 688,657
  4. Step 4: Simplify right side
    445,025.50x = 474,248,463,649
  5. Step 5: Solve for x
    x = 474,248,463,649/445,025.50
  6. Step 6: Final answer
    x = 1,065,665.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.