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Finding the Third Proportional to 245,044 and 530,813

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Solution

The third proportional to 245,044 and 530,813 is: 1,149,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,044 : 530,813 = 530,813 : x
  2. Step 2: Convert to fraction form
    245,044/530,813 = 530,813/x
  3. Step 3: Cross multiply
    245,044x = 530,813 × 530,813
  4. Step 4: Simplify right side
    245,044x = 281,762,440,969
  5. Step 5: Solve for x
    x = 281,762,440,969/245,044
  6. Step 6: Final answer
    x = 1,149,844.28

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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.