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Finding the Third Proportional to 608,006.25 and 1,319,854.50

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Solution

The third proportional to 608,006.25 and 1,319,854.50 is: 2,865,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,006.25 : 1,319,854.50 = 1,319,854.50 : x
  2. Step 2: Convert to fraction form
    608,006.25/1,319,854.50 = 1,319,854.50/x
  3. Step 3: Cross multiply
    608,006.25x = 1,319,854.50 × 1,319,854.50
  4. Step 4: Simplify right side
    608,006.25x = 1,742,015,901,170.25
  5. Step 5: Solve for x
    x = 1,742,015,901,170.25/608,006.25
  6. Step 6: Final answer
    x = 2,865,128.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.