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Finding the Third Proportional to 541,368 and 756,864

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Solution

The third proportional to 541,368 and 756,864 is: 1,058,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,368 : 756,864 = 756,864 : x
  2. Step 2: Convert to fraction form
    541,368/756,864 = 756,864/x
  3. Step 3: Cross multiply
    541,368x = 756,864 × 756,864
  4. Step 4: Simplify right side
    541,368x = 572,843,114,496
  5. Step 5: Solve for x
    x = 572,843,114,496/541,368
  6. Step 6: Final answer
    x = 1,058,139.96

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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.