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Finding the Third Proportional to 357,906.38 and 767,045.63

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Solution

The third proportional to 357,906.38 and 767,045.63 is: 1,643,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,906.38 : 767,045.63 = 767,045.63 : x
  2. Step 2: Convert to fraction form
    357,906.38/767,045.63 = 767,045.63/x
  3. Step 3: Cross multiply
    357,906.38x = 767,045.63 × 767,045.63
  4. Step 4: Simplify right side
    357,906.38x = 588,358,990,831.64
  5. Step 5: Solve for x
    x = 588,358,990,831.64/357,906.38
  6. Step 6: Final answer
    x = 1,643,890.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.