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Finding the Third Proportional to 428,656.50 and 933,507

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Solution

The third proportional to 428,656.50 and 933,507 is: 2,032,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,656.50 : 933,507 = 933,507 : x
  2. Step 2: Convert to fraction form
    428,656.50/933,507 = 933,507/x
  3. Step 3: Cross multiply
    428,656.50x = 933,507 × 933,507
  4. Step 4: Simplify right side
    428,656.50x = 871,435,319,049
  5. Step 5: Solve for x
    x = 871,435,319,049/428,656.50
  6. Step 6: Final answer
    x = 2,032,945.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.