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Finding the Third Proportional to 386,028 and 556,896

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Solution

The third proportional to 386,028 and 556,896 is: 803,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,028 : 556,896 = 556,896 : x
  2. Step 2: Convert to fraction form
    386,028/556,896 = 556,896/x
  3. Step 3: Cross multiply
    386,028x = 556,896 × 556,896
  4. Step 4: Simplify right side
    386,028x = 310,133,154,816
  5. Step 5: Solve for x
    x = 310,133,154,816/386,028
  6. Step 6: Final answer
    x = 803,395.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.