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Finding the Third Proportional to 292,301 and 641,497

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Solution

The third proportional to 292,301 and 641,497 is: 1,407,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,301 : 641,497 = 641,497 : x
  2. Step 2: Convert to fraction form
    292,301/641,497 = 641,497/x
  3. Step 3: Cross multiply
    292,301x = 641,497 × 641,497
  4. Step 4: Simplify right side
    292,301x = 411,518,401,009
  5. Step 5: Solve for x
    x = 411,518,401,009/292,301
  6. Step 6: Final answer
    x = 1,407,858.34

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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.