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Finding the Third Proportional to 541,607.63 and 757,145.81

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Solution

The third proportional to 541,607.63 and 757,145.81 is: 1,058,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,607.63 : 757,145.81 = 757,145.81 : x
  2. Step 2: Convert to fraction form
    541,607.63/757,145.81 = 757,145.81/x
  3. Step 3: Cross multiply
    541,607.63x = 757,145.81 × 757,145.81
  4. Step 4: Simplify right side
    541,607.63x = 573,269,781,386.29
  5. Step 5: Solve for x
    x = 573,269,781,386.29/541,607.63
  6. Step 6: Final answer
    x = 1,058,459.58

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Why These Related Problems?

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