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Finding the Third Proportional to 498,366,031 and 773,669,157

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Solution

The third proportional to 498,366,031 and 773,669,157 is: 1,201,052,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,031 : 773,669,157 = 773,669,157 : x
  2. Step 2: Convert to fraction form
    498,366,031/773,669,157 = 773,669,157/x
  3. Step 3: Cross multiply
    498,366,031x = 773,669,157 × 773,669,157
  4. Step 4: Simplify right side
    498,366,031x = 598,563,964,493,090,688
  5. Step 5: Solve for x
    x = 598,563,964,493,090,688/498,366,031
  6. Step 6: Final answer
    x = 1,201,052,895.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.