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Finding the Third Proportional to 536,220 and 750,016.50

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Solution

The third proportional to 536,220 and 750,016.50 is: 1,049,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,220 : 750,016.50 = 750,016.50 : x
  2. Step 2: Convert to fraction form
    536,220/750,016.50 = 750,016.50/x
  3. Step 3: Cross multiply
    536,220x = 750,016.50 × 750,016.50
  4. Step 4: Simplify right side
    536,220x = 562,524,750,272.25
  5. Step 5: Solve for x
    x = 562,524,750,272.25/536,220
  6. Step 6: Final answer
    x = 1,049,055.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.