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Finding the Third Proportional to 454,653 and 711,139.50

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Solution

The third proportional to 454,653 and 711,139.50 is: 1,112,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,653 : 711,139.50 = 711,139.50 : x
  2. Step 2: Convert to fraction form
    454,653/711,139.50 = 711,139.50/x
  3. Step 3: Cross multiply
    454,653x = 711,139.50 × 711,139.50
  4. Step 4: Simplify right side
    454,653x = 505,719,388,460.25
  5. Step 5: Solve for x
    x = 505,719,388,460.25/454,653
  6. Step 6: Final answer
    x = 1,112,319.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.