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Finding the Third Proportional to 356,852.25 and 525,421.69

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Solution

The third proportional to 356,852.25 and 525,421.69 is: 773,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,852.25 : 525,421.69 = 525,421.69 : x
  2. Step 2: Convert to fraction form
    356,852.25/525,421.69 = 525,421.69/x
  3. Step 3: Cross multiply
    356,852.25x = 525,421.69 × 525,421.69
  4. Step 4: Simplify right side
    356,852.25x = 276,067,949,695.35
  5. Step 5: Solve for x
    x = 276,067,949,695.35/356,852.25
  6. Step 6: Final answer
    x = 773,619.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.