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Finding the Third Proportional to 243,091 and 530,042

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Solution

The third proportional to 243,091 and 530,042 is: 1,155,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,091 : 530,042 = 530,042 : x
  2. Step 2: Convert to fraction form
    243,091/530,042 = 530,042/x
  3. Step 3: Cross multiply
    243,091x = 530,042 × 530,042
  4. Step 4: Simplify right side
    243,091x = 280,944,521,764
  5. Step 5: Solve for x
    x = 280,944,521,764/243,091
  6. Step 6: Final answer
    x = 1,155,717.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.