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Finding the Third Proportional to 521,736.19 and 824,635.69

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Solution

The third proportional to 521,736.19 and 824,635.69 is: 1,303,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,736.19 : 824,635.69 = 824,635.69 : x
  2. Step 2: Convert to fraction form
    521,736.19/824,635.69 = 824,635.69/x
  3. Step 3: Cross multiply
    521,736.19x = 824,635.69 × 824,635.69
  4. Step 4: Simplify right side
    521,736.19x = 680,024,017,098.60
  5. Step 5: Solve for x
    x = 680,024,017,098.60/521,736.19
  6. Step 6: Final answer
    x = 1,303,386.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.