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Finding the Third Proportional to 395,944,210.13 and 599,012,425.13

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Solution

The third proportional to 395,944,210.13 and 599,012,425.13 is: 906,228,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,944,210.13 : 599,012,425.13 = 599,012,425.13 : x
  2. Step 2: Convert to fraction form
    395,944,210.13/599,012,425.13 = 599,012,425.13/x
  3. Step 3: Cross multiply
    395,944,210.13x = 599,012,425.13 × 599,012,425.13
  4. Step 4: Simplify right side
    395,944,210.13x = 358,815,885,454,133,760
  5. Step 5: Solve for x
    x = 358,815,885,454,133,760/395,944,210.13
  6. Step 6: Final answer
    x = 906,228,393.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.