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Finding the Third Proportional to 633,622.50 and 972,607.50

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Solution

The third proportional to 633,622.50 and 972,607.50 is: 1,492,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,622.50 : 972,607.50 = 972,607.50 : x
  2. Step 2: Convert to fraction form
    633,622.50/972,607.50 = 972,607.50/x
  3. Step 3: Cross multiply
    633,622.50x = 972,607.50 × 972,607.50
  4. Step 4: Simplify right side
    633,622.50x = 945,965,349,056.25
  5. Step 5: Solve for x
    x = 945,965,349,056.25/633,622.50
  6. Step 6: Final answer
    x = 1,492,947.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.