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Finding the Third Proportional to 211,285.13 and 498,263.91

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Solution

The third proportional to 211,285.13 and 498,263.91 is: 1,175,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,285.13 : 498,263.91 = 498,263.91 : x
  2. Step 2: Convert to fraction form
    211,285.13/498,263.91 = 498,263.91/x
  3. Step 3: Cross multiply
    211,285.13x = 498,263.91 × 498,263.91
  4. Step 4: Simplify right side
    211,285.13x = 248,266,920,271.51
  5. Step 5: Solve for x
    x = 248,266,920,271.51/211,285.13
  6. Step 6: Final answer
    x = 1,175,032.65

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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.