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Finding the Third Proportional to 451,756 and 602,259.50

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Solution

The third proportional to 451,756 and 602,259.50 is: 802,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,756 : 602,259.50 = 602,259.50 : x
  2. Step 2: Convert to fraction form
    451,756/602,259.50 = 602,259.50/x
  3. Step 3: Cross multiply
    451,756x = 602,259.50 × 602,259.50
  4. Step 4: Simplify right side
    451,756x = 362,716,505,340.25
  5. Step 5: Solve for x
    x = 362,716,505,340.25/451,756
  6. Step 6: Final answer
    x = 802,903.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.