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Finding the Third Proportional to 357,080,853 and 773,750,343

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Solution

The third proportional to 357,080,853 and 773,750,343 is: 1,676,621,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,080,853 : 773,750,343 = 773,750,343 : x
  2. Step 2: Convert to fraction form
    357,080,853/773,750,343 = 773,750,343/x
  3. Step 3: Cross multiply
    357,080,853x = 773,750,343 × 773,750,343
  4. Step 4: Simplify right side
    357,080,853x = 598,689,593,292,617,600
  5. Step 5: Solve for x
    x = 598,689,593,292,617,600/357,080,853
  6. Step 6: Final answer
    x = 1,676,621,942.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.