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Finding the Third Proportional to 240,696 and 528,056

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Solution

The third proportional to 240,696 and 528,056 is: 1,158,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,696 : 528,056 = 528,056 : x
  2. Step 2: Convert to fraction form
    240,696/528,056 = 528,056/x
  3. Step 3: Cross multiply
    240,696x = 528,056 × 528,056
  4. Step 4: Simplify right side
    240,696x = 278,843,139,136
  5. Step 5: Solve for x
    x = 278,843,139,136/240,696
  6. Step 6: Final answer
    x = 1,158,486.80

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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.