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Finding the Third Proportional to 341,570,441.53 and 524,785,231.69

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Solution

The third proportional to 341,570,441.53 and 524,785,231.69 is: 806,274,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,570,441.53 : 524,785,231.69 = 524,785,231.69 : x
  2. Step 2: Convert to fraction form
    341,570,441.53/524,785,231.69 = 524,785,231.69/x
  3. Step 3: Cross multiply
    341,570,441.53x = 524,785,231.69 × 524,785,231.69
  4. Step 4: Simplify right side
    341,570,441.53x = 275,399,539,397,303,040
  5. Step 5: Solve for x
    x = 275,399,539,397,303,040/341,570,441.53
  6. Step 6: Final answer
    x = 806,274,507.13

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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.