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Finding the Third Proportional to 451,796 and 602,313

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Solution

The third proportional to 451,796 and 602,313 is: 802,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,796 : 602,313 = 602,313 : x
  2. Step 2: Convert to fraction form
    451,796/602,313 = 602,313/x
  3. Step 3: Cross multiply
    451,796x = 602,313 × 602,313
  4. Step 4: Simplify right side
    451,796x = 362,780,949,969
  5. Step 5: Solve for x
    x = 362,780,949,969/451,796
  6. Step 6: Final answer
    x = 802,975.13

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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.