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Finding the Third Proportional to 293,597.16 and 625,649.06

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Solution

The third proportional to 293,597.16 and 625,649.06 is: 1,333,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,597.16 : 625,649.06 = 625,649.06 : x
  2. Step 2: Convert to fraction form
    293,597.16/625,649.06 = 625,649.06/x
  3. Step 3: Cross multiply
    293,597.16x = 625,649.06 × 625,649.06
  4. Step 4: Simplify right side
    293,597.16x = 391,436,749,407.13
  5. Step 5: Solve for x
    x = 391,436,749,407.13/293,597.16
  6. Step 6: Final answer
    x = 1,333,244.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.