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Finding the Third Proportional to 357,705 and 767,232

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Solution

The third proportional to 357,705 and 767,232 is: 1,645,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,705 : 767,232 = 767,232 : x
  2. Step 2: Convert to fraction form
    357,705/767,232 = 767,232/x
  3. Step 3: Cross multiply
    357,705x = 767,232 × 767,232
  4. Step 4: Simplify right side
    357,705x = 588,644,941,824
  5. Step 5: Solve for x
    x = 588,644,941,824/357,705
  6. Step 6: Final answer
    x = 1,645,615.64

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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.