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Finding the Third Proportional to 374,584 and 801,656

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Solution

The third proportional to 374,584 and 801,656 is: 1,715,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,584 : 801,656 = 801,656 : x
  2. Step 2: Convert to fraction form
    374,584/801,656 = 801,656/x
  3. Step 3: Cross multiply
    374,584x = 801,656 × 801,656
  4. Step 4: Simplify right side
    374,584x = 642,652,342,336
  5. Step 5: Solve for x
    x = 642,652,342,336/374,584
  6. Step 6: Final answer
    x = 1,715,642.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.