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Finding the Third Proportional to 347,554.50 and 761,538

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Solution

The third proportional to 347,554.50 and 761,538 is: 1,668,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,554.50 : 761,538 = 761,538 : x
  2. Step 2: Convert to fraction form
    347,554.50/761,538 = 761,538/x
  3. Step 3: Cross multiply
    347,554.50x = 761,538 × 761,538
  4. Step 4: Simplify right side
    347,554.50x = 579,940,125,444
  5. Step 5: Solve for x
    x = 579,940,125,444/347,554.50
  6. Step 6: Final answer
    x = 1,668,630.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.