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Finding the Third Proportional to 470,177,316 and 741,325,878

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Solution

The third proportional to 470,177,316 and 741,325,878 is: 1,168,844,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,177,316 : 741,325,878 = 741,325,878 : x
  2. Step 2: Convert to fraction form
    470,177,316/741,325,878 = 741,325,878/x
  3. Step 3: Cross multiply
    470,177,316x = 741,325,878 × 741,325,878
  4. Step 4: Simplify right side
    470,177,316x = 549,564,057,392,470,912
  5. Step 5: Solve for x
    x = 549,564,057,392,470,912/470,177,316
  6. Step 6: Final answer
    x = 1,168,844,260.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.