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Finding the Third Proportional to 580,567.50 and 897,097.50

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Solution

The third proportional to 580,567.50 and 897,097.50 is: 1,386,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,567.50 : 897,097.50 = 897,097.50 : x
  2. Step 2: Convert to fraction form
    580,567.50/897,097.50 = 897,097.50/x
  3. Step 3: Cross multiply
    580,567.50x = 897,097.50 × 897,097.50
  4. Step 4: Simplify right side
    580,567.50x = 804,783,924,506.25
  5. Step 5: Solve for x
    x = 804,783,924,506.25/580,567.50
  6. Step 6: Final answer
    x = 1,386,202.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.