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Finding the Third Proportional to 730,011 and 976,503

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Solution

The third proportional to 730,011 and 976,503 is: 1,306,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,011 : 976,503 = 976,503 : x
  2. Step 2: Convert to fraction form
    730,011/976,503 = 976,503/x
  3. Step 3: Cross multiply
    730,011x = 976,503 × 976,503
  4. Step 4: Simplify right side
    730,011x = 953,558,109,009
  5. Step 5: Solve for x
    x = 953,558,109,009/730,011
  6. Step 6: Final answer
    x = 1,306,224.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.