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Finding the Third Proportional to 240,070 and 524,433.50

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Solution

The third proportional to 240,070 and 524,433.50 is: 1,145,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,070 : 524,433.50 = 524,433.50 : x
  2. Step 2: Convert to fraction form
    240,070/524,433.50 = 524,433.50/x
  3. Step 3: Cross multiply
    240,070x = 524,433.50 × 524,433.50
  4. Step 4: Simplify right side
    240,070x = 275,030,495,922.25
  5. Step 5: Solve for x
    x = 275,030,495,922.25/240,070
  6. Step 6: Final answer
    x = 1,145,626.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.