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Finding the Third Proportional to 293,768,047.25 and 444,430,330.25

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Solution

The third proportional to 293,768,047.25 and 444,430,330.25 is: 672,361,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,768,047.25 : 444,430,330.25 = 444,430,330.25 : x
  2. Step 2: Convert to fraction form
    293,768,047.25/444,430,330.25 = 444,430,330.25/x
  3. Step 3: Cross multiply
    293,768,047.25x = 444,430,330.25 × 444,430,330.25
  4. Step 4: Simplify right side
    293,768,047.25x = 197,518,318,446,124,064
  5. Step 5: Solve for x
    x = 197,518,318,446,124,064/293,768,047.25
  6. Step 6: Final answer
    x = 672,361,478.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.