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Finding the Third Proportional to 242,456 and 530,056

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Solution

The third proportional to 242,456 and 530,056 is: 1,158,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,456 : 530,056 = 530,056 : x
  2. Step 2: Convert to fraction form
    242,456/530,056 = 530,056/x
  3. Step 3: Cross multiply
    242,456x = 530,056 × 530,056
  4. Step 4: Simplify right side
    242,456x = 280,959,363,136
  5. Step 5: Solve for x
    x = 280,959,363,136/242,456
  6. Step 6: Final answer
    x = 1,158,805.57

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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.