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Finding the Third Proportional to 273,492 and 574,623

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Solution

The third proportional to 273,492 and 574,623 is: 1,207,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,492 : 574,623 = 574,623 : x
  2. Step 2: Convert to fraction form
    273,492/574,623 = 574,623/x
  3. Step 3: Cross multiply
    273,492x = 574,623 × 574,623
  4. Step 4: Simplify right side
    273,492x = 330,191,592,129
  5. Step 5: Solve for x
    x = 330,191,592,129/273,492
  6. Step 6: Final answer
    x = 1,207,317.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.