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Finding the Third Proportional to 365,547.94 and 801,712.69

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Solution

The third proportional to 365,547.94 and 801,712.69 is: 1,758,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,547.94 : 801,712.69 = 801,712.69 : x
  2. Step 2: Convert to fraction form
    365,547.94/801,712.69 = 801,712.69/x
  3. Step 3: Cross multiply
    365,547.94x = 801,712.69 × 801,712.69
  4. Step 4: Simplify right side
    365,547.94x = 642,743,233,298.47
  5. Step 5: Solve for x
    x = 642,743,233,298.47/365,547.94
  6. Step 6: Final answer
    x = 1,758,300.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.