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Finding the Third Proportional to 253,719.59 and 525,423.55

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Solution

The third proportional to 253,719.59 and 525,423.55 is: 1,088,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,719.59 : 525,423.55 = 525,423.55 : x
  2. Step 2: Convert to fraction form
    253,719.59/525,423.55 = 525,423.55/x
  3. Step 3: Cross multiply
    253,719.59x = 525,423.55 × 525,423.55
  4. Step 4: Simplify right side
    253,719.59x = 276,069,903,097.58
  5. Step 5: Solve for x
    x = 276,069,903,097.58/253,719.59
  6. Step 6: Final answer
    x = 1,088,090.62

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.