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Finding the Third Proportional to 357,642 and 773,361

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Solution

The third proportional to 357,642 and 773,361 is: 1,672,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,642 : 773,361 = 773,361 : x
  2. Step 2: Convert to fraction form
    357,642/773,361 = 773,361/x
  3. Step 3: Cross multiply
    357,642x = 773,361 × 773,361
  4. Step 4: Simplify right side
    357,642x = 598,087,236,321
  5. Step 5: Solve for x
    x = 598,087,236,321/357,642
  6. Step 6: Final answer
    x = 1,672,307.05

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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.