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Finding the Third Proportional to 240,376.64 and 525,404.53

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Solution

The third proportional to 240,376.64 and 525,404.53 is: 1,148,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,376.64 : 525,404.53 = 525,404.53 : x
  2. Step 2: Convert to fraction form
    240,376.64/525,404.53 = 525,404.53/x
  3. Step 3: Cross multiply
    240,376.64x = 525,404.53 × 525,404.53
  4. Step 4: Simplify right side
    240,376.64x = 276,049,921,458.03
  5. Step 5: Solve for x
    x = 276,049,921,458.03/240,376.64
  6. Step 6: Final answer
    x = 1,148,405.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.