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Finding the Third Proportional to 354,382,014 and 510,501,117

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Solution

The third proportional to 354,382,014 and 510,501,117 is: 735,396,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,382,014 : 510,501,117 = 510,501,117 : x
  2. Step 2: Convert to fraction form
    354,382,014/510,501,117 = 510,501,117/x
  3. Step 3: Cross multiply
    354,382,014x = 510,501,117 × 510,501,117
  4. Step 4: Simplify right side
    354,382,014x = 260,611,390,458,247,680
  5. Step 5: Solve for x
    x = 260,611,390,458,247,680/354,382,014
  6. Step 6: Final answer
    x = 735,396,775.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.