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Finding the Third Proportional to 293,768,041.50 and 444,430,320.75

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Solution

The third proportional to 293,768,041.50 and 444,430,320.75 is: 672,361,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,768,041.50 : 444,430,320.75 = 444,430,320.75 : x
  2. Step 2: Convert to fraction form
    293,768,041.50/444,430,320.75 = 444,430,320.75/x
  3. Step 3: Cross multiply
    293,768,041.50x = 444,430,320.75 × 444,430,320.75
  4. Step 4: Simplify right side
    293,768,041.50x = 197,518,310,001,947,872
  5. Step 5: Solve for x
    x = 197,518,310,001,947,872/293,768,041.50
  6. Step 6: Final answer
    x = 672,361,462.44

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