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Finding the Third Proportional to 540,798.19 and 783,313.03

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Solution

The third proportional to 540,798.19 and 783,313.03 is: 1,134,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,798.19 : 783,313.03 = 783,313.03 : x
  2. Step 2: Convert to fraction form
    540,798.19/783,313.03 = 783,313.03/x
  3. Step 3: Cross multiply
    540,798.19x = 783,313.03 × 783,313.03
  4. Step 4: Simplify right side
    540,798.19x = 613,579,304,926.06
  5. Step 5: Solve for x
    x = 613,579,304,926.06/540,798.19
  6. Step 6: Final answer
    x = 1,134,580.92

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.