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Finding the Third Proportional to 410,527.50 and 653,735

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Solution

The third proportional to 410,527.50 and 653,735 is: 1,041,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,527.50 : 653,735 = 653,735 : x
  2. Step 2: Convert to fraction form
    410,527.50/653,735 = 653,735/x
  3. Step 3: Cross multiply
    410,527.50x = 653,735 × 653,735
  4. Step 4: Simplify right side
    410,527.50x = 427,369,450,225
  5. Step 5: Solve for x
    x = 427,369,450,225/410,527.50
  6. Step 6: Final answer
    x = 1,041,025.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.