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Finding the Third Proportional to 295,427,715.75 and 463,422,444.75

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Solution

The third proportional to 295,427,715.75 and 463,422,444.75 is: 726,947,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,427,715.75 : 463,422,444.75 = 463,422,444.75 : x
  2. Step 2: Convert to fraction form
    295,427,715.75/463,422,444.75 = 463,422,444.75/x
  3. Step 3: Cross multiply
    295,427,715.75x = 463,422,444.75 × 463,422,444.75
  4. Step 4: Simplify right side
    295,427,715.75x = 214,760,362,298,066,816
  5. Step 5: Solve for x
    x = 214,760,362,298,066,816/295,427,715.75
  6. Step 6: Final answer
    x = 726,947,239.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.