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Finding the Third Proportional to 395,345,856 and 578,465,808

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Solution

The third proportional to 395,345,856 and 578,465,808 is: 846,404,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,345,856 : 578,465,808 = 578,465,808 : x
  2. Step 2: Convert to fraction form
    395,345,856/578,465,808 = 578,465,808/x
  3. Step 3: Cross multiply
    395,345,856x = 578,465,808 × 578,465,808
  4. Step 4: Simplify right side
    395,345,856x = 334,622,691,025,092,864
  5. Step 5: Solve for x
    x = 334,622,691,025,092,864/395,345,856
  6. Step 6: Final answer
    x = 846,404,953.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.