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Finding the Third Proportional to 210,795 and 497,593.50

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Solution

The third proportional to 210,795 and 497,593.50 is: 1,174,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,795 : 497,593.50 = 497,593.50 : x
  2. Step 2: Convert to fraction form
    210,795/497,593.50 = 497,593.50/x
  3. Step 3: Cross multiply
    210,795x = 497,593.50 × 497,593.50
  4. Step 4: Simplify right side
    210,795x = 247,599,291,242.25
  5. Step 5: Solve for x
    x = 247,599,291,242.25/210,795
  6. Step 6: Final answer
    x = 1,174,597.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.