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Finding the Third Proportional to 650,349 and 1,021,549.50

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Solution

The third proportional to 650,349 and 1,021,549.50 is: 1,604,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,349 : 1,021,549.50 = 1,021,549.50 : x
  2. Step 2: Convert to fraction form
    650,349/1,021,549.50 = 1,021,549.50/x
  3. Step 3: Cross multiply
    650,349x = 1,021,549.50 × 1,021,549.50
  4. Step 4: Simplify right side
    650,349x = 1,043,563,380,950.25
  5. Step 5: Solve for x
    x = 1,043,563,380,950.25/650,349
  6. Step 6: Final answer
    x = 1,604,620.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.