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Finding the Third Proportional to 525,715.31 and 1,148,725.55

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Solution

The third proportional to 525,715.31 and 1,148,725.55 is: 2,510,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,715.31 : 1,148,725.55 = 1,148,725.55 : x
  2. Step 2: Convert to fraction form
    525,715.31/1,148,725.55 = 1,148,725.55/x
  3. Step 3: Cross multiply
    525,715.31x = 1,148,725.55 × 1,148,725.55
  4. Step 4: Simplify right side
    525,715.31x = 1,319,570,382,043.27
  5. Step 5: Solve for x
    x = 1,319,570,382,043.27/525,715.31
  6. Step 6: Final answer
    x = 2,510,047.45

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