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Finding the Third Proportional to 301,713.38 and 651,281.63

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Solution

The third proportional to 301,713.38 and 651,281.63 is: 1,405,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,713.38 : 651,281.63 = 651,281.63 : x
  2. Step 2: Convert to fraction form
    301,713.38/651,281.63 = 651,281.63/x
  3. Step 3: Cross multiply
    301,713.38x = 651,281.63 × 651,281.63
  4. Step 4: Simplify right side
    301,713.38x = 424,167,755,062.64
  5. Step 5: Solve for x
    x = 424,167,755,062.64/301,713.38
  6. Step 6: Final answer
    x = 1,405,863.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.