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Finding the Third Proportional to 541,210.50 and 1,174,646.25

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Solution

The third proportional to 541,210.50 and 1,174,646.25 is: 2,549,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,210.50 : 1,174,646.25 = 1,174,646.25 : x
  2. Step 2: Convert to fraction form
    541,210.50/1,174,646.25 = 1,174,646.25/x
  3. Step 3: Cross multiply
    541,210.50x = 1,174,646.25 × 1,174,646.25
  4. Step 4: Simplify right side
    541,210.50x = 1,379,793,812,639.06
  5. Step 5: Solve for x
    x = 1,379,793,812,639.06/541,210.50
  6. Step 6: Final answer
    x = 2,549,458.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.