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Finding the Third Proportional to 395,345,927.25 and 578,465,886.38

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Solution

The third proportional to 395,345,927.25 and 578,465,886.38 is: 846,405,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,345,927.25 : 578,465,886.38 = 578,465,886.38 : x
  2. Step 2: Convert to fraction form
    395,345,927.25/578,465,886.38 = 578,465,886.38/x
  3. Step 3: Cross multiply
    395,345,927.25x = 578,465,886.38 × 578,465,886.38
  4. Step 4: Simplify right side
    395,345,927.25x = 334,622,781,699,614,400
  5. Step 5: Solve for x
    x = 334,622,781,699,614,400/395,345,927.25
  6. Step 6: Final answer
    x = 846,405,030.72

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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.