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Finding the Third Proportional to 343,505.81 and 525,464.72

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Solution

The third proportional to 343,505.81 and 525,464.72 is: 803,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,505.81 : 525,464.72 = 525,464.72 : x
  2. Step 2: Convert to fraction form
    343,505.81/525,464.72 = 525,464.72/x
  3. Step 3: Cross multiply
    343,505.81x = 525,464.72 × 525,464.72
  4. Step 4: Simplify right side
    343,505.81x = 276,113,170,651.02
  5. Step 5: Solve for x
    x = 276,113,170,651.02/343,505.81
  6. Step 6: Final answer
    x = 803,809.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.