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Finding the Third Proportional to 410,535 and 653,749.50

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Solution

The third proportional to 410,535 and 653,749.50 is: 1,041,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,535 : 653,749.50 = 653,749.50 : x
  2. Step 2: Convert to fraction form
    410,535/653,749.50 = 653,749.50/x
  3. Step 3: Cross multiply
    410,535x = 653,749.50 × 653,749.50
  4. Step 4: Simplify right side
    410,535x = 427,388,408,750.25
  5. Step 5: Solve for x
    x = 427,388,408,750.25/410,535
  6. Step 6: Final answer
    x = 1,041,052.31

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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.