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Finding the Third Proportional to 356,565 and 758,922

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Solution

The third proportional to 356,565 and 758,922 is: 1,615,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,565 : 758,922 = 758,922 : x
  2. Step 2: Convert to fraction form
    356,565/758,922 = 758,922/x
  3. Step 3: Cross multiply
    356,565x = 758,922 × 758,922
  4. Step 4: Simplify right side
    356,565x = 575,962,602,084
  5. Step 5: Solve for x
    x = 575,962,602,084/356,565
  6. Step 6: Final answer
    x = 1,615,308.86

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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.