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Finding the Third Proportional to 242,020 and 526,028

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Solution

The third proportional to 242,020 and 526,028 is: 1,143,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,020 : 526,028 = 526,028 : x
  2. Step 2: Convert to fraction form
    242,020/526,028 = 526,028/x
  3. Step 3: Cross multiply
    242,020x = 526,028 × 526,028
  4. Step 4: Simplify right side
    242,020x = 276,705,456,784
  5. Step 5: Solve for x
    x = 276,705,456,784/242,020
  6. Step 6: Final answer
    x = 1,143,316.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.