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Finding the Third Proportional to 541,572 and 757,111.88

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Solution

The third proportional to 541,572 and 757,111.88 is: 1,058,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,572 : 757,111.88 = 757,111.88 : x
  2. Step 2: Convert to fraction form
    541,572/757,111.88 = 757,111.88/x
  3. Step 3: Cross multiply
    541,572x = 757,111.88 × 757,111.88
  4. Step 4: Simplify right side
    541,572x = 573,218,391,266.02
  5. Step 5: Solve for x
    x = 573,218,391,266.02/541,572
  6. Step 6: Final answer
    x = 1,058,434.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.