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Finding the Third Proportional to 242,268 and 530,712

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Solution

The third proportional to 242,268 and 530,712 is: 1,162,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,268 : 530,712 = 530,712 : x
  2. Step 2: Convert to fraction form
    242,268/530,712 = 530,712/x
  3. Step 3: Cross multiply
    242,268x = 530,712 × 530,712
  4. Step 4: Simplify right side
    242,268x = 281,655,226,944
  5. Step 5: Solve for x
    x = 281,655,226,944/242,268
  6. Step 6: Final answer
    x = 1,162,577.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.