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Finding the Third Proportional to 541,386 and 756,868.50

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Solution

The third proportional to 541,386 and 756,868.50 is: 1,058,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,386 : 756,868.50 = 756,868.50 : x
  2. Step 2: Convert to fraction form
    541,386/756,868.50 = 756,868.50/x
  3. Step 3: Cross multiply
    541,386x = 756,868.50 × 756,868.50
  4. Step 4: Simplify right side
    541,386x = 572,849,926,292.25
  5. Step 5: Solve for x
    x = 572,849,926,292.25/541,386
  6. Step 6: Final answer
    x = 1,058,117.36

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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.