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Finding the Third Proportional to 602,825 and 1,300,297.50

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Solution

The third proportional to 602,825 and 1,300,297.50 is: 2,804,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,825 : 1,300,297.50 = 1,300,297.50 : x
  2. Step 2: Convert to fraction form
    602,825/1,300,297.50 = 1,300,297.50/x
  3. Step 3: Cross multiply
    602,825x = 1,300,297.50 × 1,300,297.50
  4. Step 4: Simplify right side
    602,825x = 1,690,773,588,506.25
  5. Step 5: Solve for x
    x = 1,690,773,588,506.25/602,825
  6. Step 6: Final answer
    x = 2,804,750.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.