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Finding the Third Proportional to 451,756.50 and 602,260.50

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Solution

The third proportional to 451,756.50 and 602,260.50 is: 802,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,756.50 : 602,260.50 = 602,260.50 : x
  2. Step 2: Convert to fraction form
    451,756.50/602,260.50 = 602,260.50/x
  3. Step 3: Cross multiply
    451,756.50x = 602,260.50 × 602,260.50
  4. Step 4: Simplify right side
    451,756.50x = 362,717,709,860.25
  5. Step 5: Solve for x
    x = 362,717,709,860.25/451,756.50
  6. Step 6: Final answer
    x = 802,905.35

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