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Finding the Third Proportional to 242,136 and 528,516

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Solution

The third proportional to 242,136 and 528,516 is: 1,153,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,136 : 528,516 = 528,516 : x
  2. Step 2: Convert to fraction form
    242,136/528,516 = 528,516/x
  3. Step 3: Cross multiply
    242,136x = 528,516 × 528,516
  4. Step 4: Simplify right side
    242,136x = 279,329,162,256
  5. Step 5: Solve for x
    x = 279,329,162,256/242,136
  6. Step 6: Final answer
    x = 1,153,604.43

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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.