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Finding the Third Proportional to 346,538 and 756,580

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Solution

The third proportional to 346,538 and 756,580 is: 1,651,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,538 : 756,580 = 756,580 : x
  2. Step 2: Convert to fraction form
    346,538/756,580 = 756,580/x
  3. Step 3: Cross multiply
    346,538x = 756,580 × 756,580
  4. Step 4: Simplify right side
    346,538x = 572,413,296,400
  5. Step 5: Solve for x
    x = 572,413,296,400/346,538
  6. Step 6: Final answer
    x = 1,651,805.28

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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.