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Finding the Third Proportional to 379,712,954.25 and 570,580,463.25

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Solution

The third proportional to 379,712,954.25 and 570,580,463.25 is: 857,389,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,712,954.25 : 570,580,463.25 = 570,580,463.25 : x
  2. Step 2: Convert to fraction form
    379,712,954.25/570,580,463.25 = 570,580,463.25/x
  3. Step 3: Cross multiply
    379,712,954.25x = 570,580,463.25 × 570,580,463.25
  4. Step 4: Simplify right side
    379,712,954.25x = 325,562,065,042,584,576
  5. Step 5: Solve for x
    x = 325,562,065,042,584,576/379,712,954.25
  6. Step 6: Final answer
    x = 857,389,934.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.