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Finding the Third Proportional to 303,530,460 and 653,096,904

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Solution

The third proportional to 303,530,460 and 653,096,904 is: 1,405,247,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,530,460 : 653,096,904 = 653,096,904 : x
  2. Step 2: Convert to fraction form
    303,530,460/653,096,904 = 653,096,904/x
  3. Step 3: Cross multiply
    303,530,460x = 653,096,904 × 653,096,904
  4. Step 4: Simplify right side
    303,530,460x = 426,535,566,014,385,216
  5. Step 5: Solve for x
    x = 426,535,566,014,385,216/303,530,460
  6. Step 6: Final answer
    x = 1,405,247,980.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.