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Finding the Third Proportional to 393,232 and 860,056

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Solution

The third proportional to 393,232 and 860,056 is: 1,881,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,232 : 860,056 = 860,056 : x
  2. Step 2: Convert to fraction form
    393,232/860,056 = 860,056/x
  3. Step 3: Cross multiply
    393,232x = 860,056 × 860,056
  4. Step 4: Simplify right side
    393,232x = 739,696,323,136
  5. Step 5: Solve for x
    x = 739,696,323,136/393,232
  6. Step 6: Final answer
    x = 1,881,068.49

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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.