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Finding the Third Proportional to 498,630,012 and 745,154,244

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Solution

The third proportional to 498,630,012 and 745,154,244 is: 1,113,560,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,630,012 : 745,154,244 = 745,154,244 : x
  2. Step 2: Convert to fraction form
    498,630,012/745,154,244 = 745,154,244/x
  3. Step 3: Cross multiply
    498,630,012x = 745,154,244 × 745,154,244
  4. Step 4: Simplify right side
    498,630,012x = 555,254,847,351,211,520
  5. Step 5: Solve for x
    x = 555,254,847,351,211,520/498,630,012
  6. Step 6: Final answer
    x = 1,113,560,824.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.