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Finding the Third Proportional to 445,028 and 688,660

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Solution

The third proportional to 445,028 and 688,660 is: 1,065,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,028 : 688,660 = 688,660 : x
  2. Step 2: Convert to fraction form
    445,028/688,660 = 688,660/x
  3. Step 3: Cross multiply
    445,028x = 688,660 × 688,660
  4. Step 4: Simplify right side
    445,028x = 474,252,595,600
  5. Step 5: Solve for x
    x = 474,252,595,600/445,028
  6. Step 6: Final answer
    x = 1,065,669.12

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Why These Related Problems?

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