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Finding the Third Proportional to 435,828 and 653,719.50

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Solution

The third proportional to 435,828 and 653,719.50 is: 980,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,828 : 653,719.50 = 653,719.50 : x
  2. Step 2: Convert to fraction form
    435,828/653,719.50 = 653,719.50/x
  3. Step 3: Cross multiply
    435,828x = 653,719.50 × 653,719.50
  4. Step 4: Simplify right side
    435,828x = 427,349,184,680.25
  5. Step 5: Solve for x
    x = 427,349,184,680.25/435,828
  6. Step 6: Final answer
    x = 980,545.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.