Home / 382,340,710.69-590,400,938.81

Finding the Third Proportional to 382,340,710.69 and 590,400,938.81

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Solution

The third proportional to 382,340,710.69 and 590,400,938.81 is: 911,682,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,340,710.69 : 590,400,938.81 = 590,400,938.81 : x
  2. Step 2: Convert to fraction form
    382,340,710.69/590,400,938.81 = 590,400,938.81/x
  3. Step 3: Cross multiply
    382,340,710.69x = 590,400,938.81 × 590,400,938.81
  4. Step 4: Simplify right side
    382,340,710.69x = 348,573,268,550,681,344
  5. Step 5: Solve for x
    x = 348,573,268,550,681,344/382,340,710.69
  6. Step 6: Final answer
    x = 911,682,326.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.