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Finding the Third Proportional to 652,207.50 and 901,207.50

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Solution

The third proportional to 652,207.50 and 901,207.50 is: 1,245,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,207.50 : 901,207.50 = 901,207.50 : x
  2. Step 2: Convert to fraction form
    652,207.50/901,207.50 = 901,207.50/x
  3. Step 3: Cross multiply
    652,207.50x = 901,207.50 × 901,207.50
  4. Step 4: Simplify right side
    652,207.50x = 812,174,958,056.25
  5. Step 5: Solve for x
    x = 812,174,958,056.25/652,207.50
  6. Step 6: Final answer
    x = 1,245,270.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.