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Finding the Third Proportional to 554,250,843 and 774,875,301.75

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Solution

The third proportional to 554,250,843 and 774,875,301.75 is: 1,083,321,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,250,843 : 774,875,301.75 = 774,875,301.75 : x
  2. Step 2: Convert to fraction form
    554,250,843/774,875,301.75 = 774,875,301.75/x
  3. Step 3: Cross multiply
    554,250,843x = 774,875,301.75 × 774,875,301.75
  4. Step 4: Simplify right side
    554,250,843x = 600,431,733,262,153,600
  5. Step 5: Solve for x
    x = 600,431,733,262,153,600/554,250,843
  6. Step 6: Final answer
    x = 1,083,321,281.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.