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Finding the Third Proportional to 343,880 and 525,996

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Solution

The third proportional to 343,880 and 525,996 is: 804,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,880 : 525,996 = 525,996 : x
  2. Step 2: Convert to fraction form
    343,880/525,996 = 525,996/x
  3. Step 3: Cross multiply
    343,880x = 525,996 × 525,996
  4. Step 4: Simplify right side
    343,880x = 276,671,792,016
  5. Step 5: Solve for x
    x = 276,671,792,016/343,880
  6. Step 6: Final answer
    x = 804,559.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.