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Finding the Third Proportional to 721,302.75 and 1,039,527

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Solution

The third proportional to 721,302.75 and 1,039,527 is: 1,498,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,302.75 : 1,039,527 = 1,039,527 : x
  2. Step 2: Convert to fraction form
    721,302.75/1,039,527 = 1,039,527/x
  3. Step 3: Cross multiply
    721,302.75x = 1,039,527 × 1,039,527
  4. Step 4: Simplify right side
    721,302.75x = 1,080,616,383,729
  5. Step 5: Solve for x
    x = 1,080,616,383,729/721,302.75
  6. Step 6: Final answer
    x = 1,498,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.