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Finding the Third Proportional to 210,988.13 and 497,751.75

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Solution

The third proportional to 210,988.13 and 497,751.75 is: 1,174,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,988.13 : 497,751.75 = 497,751.75 : x
  2. Step 2: Convert to fraction form
    210,988.13/497,751.75 = 497,751.75/x
  3. Step 3: Cross multiply
    210,988.13x = 497,751.75 × 497,751.75
  4. Step 4: Simplify right side
    210,988.13x = 247,756,804,628.06
  5. Step 5: Solve for x
    x = 247,756,804,628.06/210,988.13
  6. Step 6: Final answer
    x = 1,174,268.95

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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.