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Finding the Third Proportional to 564,877.50 and 790,089

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Solution

The third proportional to 564,877.50 and 790,089 is: 1,105,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,877.50 : 790,089 = 790,089 : x
  2. Step 2: Convert to fraction form
    564,877.50/790,089 = 790,089/x
  3. Step 3: Cross multiply
    564,877.50x = 790,089 × 790,089
  4. Step 4: Simplify right side
    564,877.50x = 624,240,627,921
  5. Step 5: Solve for x
    x = 624,240,627,921/564,877.50
  6. Step 6: Final answer
    x = 1,105,090.27

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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.