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Finding the Third Proportional to 254,577 and 530,070

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Solution

The third proportional to 254,577 and 530,070 is: 1,103,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,577 : 530,070 = 530,070 : x
  2. Step 2: Convert to fraction form
    254,577/530,070 = 530,070/x
  3. Step 3: Cross multiply
    254,577x = 530,070 × 530,070
  4. Step 4: Simplify right side
    254,577x = 280,974,204,900
  5. Step 5: Solve for x
    x = 280,974,204,900/254,577
  6. Step 6: Final answer
    x = 1,103,690.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.