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Finding the Third Proportional to 289,146,060.75 and 440,498,628.75

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Solution

The third proportional to 289,146,060.75 and 440,498,628.75 is: 671,076,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,146,060.75 : 440,498,628.75 = 440,498,628.75 : x
  2. Step 2: Convert to fraction form
    289,146,060.75/440,498,628.75 = 440,498,628.75/x
  3. Step 3: Cross multiply
    289,146,060.75x = 440,498,628.75 × 440,498,628.75
  4. Step 4: Simplify right side
    289,146,060.75x = 194,039,041,930,630,336
  5. Step 5: Solve for x
    x = 194,039,041,930,630,336/289,146,060.75
  6. Step 6: Final answer
    x = 671,076,207.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.