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Finding the Third Proportional to 485,521 and 759,973

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Solution

The third proportional to 485,521 and 759,973 is: 1,189,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,521 : 759,973 = 759,973 : x
  2. Step 2: Convert to fraction form
    485,521/759,973 = 759,973/x
  3. Step 3: Cross multiply
    485,521x = 759,973 × 759,973
  4. Step 4: Simplify right side
    485,521x = 577,558,960,729
  5. Step 5: Solve for x
    x = 577,558,960,729/485,521
  6. Step 6: Final answer
    x = 1,189,565.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.