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Finding the Third Proportional to 379,712,425.50 and 570,579,760.13

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Solution

The third proportional to 379,712,425.50 and 570,579,760.13 is: 857,389,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,712,425.50 : 570,579,760.13 = 570,579,760.13 : x
  2. Step 2: Convert to fraction form
    379,712,425.50/570,579,760.13 = 570,579,760.13/x
  3. Step 3: Cross multiply
    379,712,425.50x = 570,579,760.13 × 570,579,760.13
  4. Step 4: Simplify right side
    379,712,425.50x = 325,561,262,664,302,528
  5. Step 5: Solve for x
    x = 325,561,262,664,302,528/379,712,425.50
  6. Step 6: Final answer
    x = 857,389,015.48

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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.