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Finding the Third Proportional to 243,001 and 530,220

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Solution

The third proportional to 243,001 and 530,220 is: 1,156,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,001 : 530,220 = 530,220 : x
  2. Step 2: Convert to fraction form
    243,001/530,220 = 530,220/x
  3. Step 3: Cross multiply
    243,001x = 530,220 × 530,220
  4. Step 4: Simplify right side
    243,001x = 281,133,248,400
  5. Step 5: Solve for x
    x = 281,133,248,400/243,001
  6. Step 6: Final answer
    x = 1,156,922.19

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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.