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Finding the Third Proportional to 451,752.75 and 602,255.25

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Solution

The third proportional to 451,752.75 and 602,255.25 is: 802,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,752.75 : 602,255.25 = 602,255.25 : x
  2. Step 2: Convert to fraction form
    451,752.75/602,255.25 = 602,255.25/x
  3. Step 3: Cross multiply
    451,752.75x = 602,255.25 × 602,255.25
  4. Step 4: Simplify right side
    451,752.75x = 362,711,386,152.56
  5. Step 5: Solve for x
    x = 362,711,386,152.56/451,752.75
  6. Step 6: Final answer
    x = 802,898.01

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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.