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Finding the Third Proportional to 573,284 and 801,820

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Solution

The third proportional to 573,284 and 801,820 is: 1,121,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,284 : 801,820 = 801,820 : x
  2. Step 2: Convert to fraction form
    573,284/801,820 = 801,820/x
  3. Step 3: Cross multiply
    573,284x = 801,820 × 801,820
  4. Step 4: Simplify right side
    573,284x = 642,915,312,400
  5. Step 5: Solve for x
    x = 642,915,312,400/573,284
  6. Step 6: Final answer
    x = 1,121,460.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.