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Finding the Third Proportional to 521,326.13 and 832,573.69

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Solution

The third proportional to 521,326.13 and 832,573.69 is: 1,329,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,326.13 : 832,573.69 = 832,573.69 : x
  2. Step 2: Convert to fraction form
    521,326.13/832,573.69 = 832,573.69/x
  3. Step 3: Cross multiply
    521,326.13x = 832,573.69 × 832,573.69
  4. Step 4: Simplify right side
    521,326.13x = 693,178,945,117.35
  5. Step 5: Solve for x
    x = 693,178,945,117.35/521,326.13
  6. Step 6: Final answer
    x = 1,329,645.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.