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Finding the Third Proportional to 445,036.50 and 689,544

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Solution

The third proportional to 445,036.50 and 689,544 is: 1,068,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,036.50 : 689,544 = 689,544 : x
  2. Step 2: Convert to fraction form
    445,036.50/689,544 = 689,544/x
  3. Step 3: Cross multiply
    445,036.50x = 689,544 × 689,544
  4. Step 4: Simplify right side
    445,036.50x = 475,470,927,936
  5. Step 5: Solve for x
    x = 475,470,927,936/445,036.50
  6. Step 6: Final answer
    x = 1,068,386.36

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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.