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Finding the Third Proportional to 243,088 and 530,036

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Solution

The third proportional to 243,088 and 530,036 is: 1,155,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,088 : 530,036 = 530,036 : x
  2. Step 2: Convert to fraction form
    243,088/530,036 = 530,036/x
  3. Step 3: Cross multiply
    243,088x = 530,036 × 530,036
  4. Step 4: Simplify right side
    243,088x = 280,938,161,296
  5. Step 5: Solve for x
    x = 280,938,161,296/243,088
  6. Step 6: Final answer
    x = 1,155,705.59

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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.