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Finding the Third Proportional to 242,454 and 530,052

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Solution

The third proportional to 242,454 and 530,052 is: 1,158,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,454 : 530,052 = 530,052 : x
  2. Step 2: Convert to fraction form
    242,454/530,052 = 530,052/x
  3. Step 3: Cross multiply
    242,454x = 530,052 × 530,052
  4. Step 4: Simplify right side
    242,454x = 280,955,122,704
  5. Step 5: Solve for x
    x = 280,955,122,704/242,454
  6. Step 6: Final answer
    x = 1,158,797.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.