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Finding the Third Proportional to 270,482.06 and 577,166.06

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Solution

The third proportional to 270,482.06 and 577,166.06 is: 1,231,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,482.06 : 577,166.06 = 577,166.06 : x
  2. Step 2: Convert to fraction form
    270,482.06/577,166.06 = 577,166.06/x
  3. Step 3: Cross multiply
    270,482.06x = 577,166.06 × 577,166.06
  4. Step 4: Simplify right side
    270,482.06x = 333,120,663,701.75
  5. Step 5: Solve for x
    x = 333,120,663,701.75/270,482.06
  6. Step 6: Final answer
    x = 1,231,581.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.