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Finding the Third Proportional to 343,607 and 552,347

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Solution

The third proportional to 343,607 and 552,347 is: 887,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,607 : 552,347 = 552,347 : x
  2. Step 2: Convert to fraction form
    343,607/552,347 = 552,347/x
  3. Step 3: Cross multiply
    343,607x = 552,347 × 552,347
  4. Step 4: Simplify right side
    343,607x = 305,087,208,409
  5. Step 5: Solve for x
    x = 305,087,208,409/343,607
  6. Step 6: Final answer
    x = 887,895.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.