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Finding the Third Proportional to 435,688.50 and 957,291

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Solution

The third proportional to 435,688.50 and 957,291 is: 2,103,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,688.50 : 957,291 = 957,291 : x
  2. Step 2: Convert to fraction form
    435,688.50/957,291 = 957,291/x
  3. Step 3: Cross multiply
    435,688.50x = 957,291 × 957,291
  4. Step 4: Simplify right side
    435,688.50x = 916,406,058,681
  5. Step 5: Solve for x
    x = 916,406,058,681/435,688.50
  6. Step 6: Final answer
    x = 2,103,351.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.