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Finding the Third Proportional to 366,875 and 801,001

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Solution

The third proportional to 366,875 and 801,001 is: 1,748,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,875 : 801,001 = 801,001 : x
  2. Step 2: Convert to fraction form
    366,875/801,001 = 801,001/x
  3. Step 3: Cross multiply
    366,875x = 801,001 × 801,001
  4. Step 4: Simplify right side
    366,875x = 641,602,602,001
  5. Step 5: Solve for x
    x = 641,602,602,001/366,875
  6. Step 6: Final answer
    x = 1,748,831.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.