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Finding the Third Proportional to 500,574 and 1,036,633.50

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Solution

The third proportional to 500,574 and 1,036,633.50 is: 2,146,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,574 : 1,036,633.50 = 1,036,633.50 : x
  2. Step 2: Convert to fraction form
    500,574/1,036,633.50 = 1,036,633.50/x
  3. Step 3: Cross multiply
    500,574x = 1,036,633.50 × 1,036,633.50
  4. Step 4: Simplify right side
    500,574x = 1,074,609,013,322.25
  5. Step 5: Solve for x
    x = 1,074,609,013,322.25/500,574
  6. Step 6: Final answer
    x = 2,146,753.55

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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.