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Finding the Third Proportional to 479,197,263 and 716,154,777

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Solution

The third proportional to 479,197,263 and 716,154,777 is: 1,070,285,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,197,263 : 716,154,777 = 716,154,777 : x
  2. Step 2: Convert to fraction form
    479,197,263/716,154,777 = 716,154,777/x
  3. Step 3: Cross multiply
    479,197,263x = 716,154,777 × 716,154,777
  4. Step 4: Simplify right side
    479,197,263x = 512,877,664,619,919,744
  5. Step 5: Solve for x
    x = 512,877,664,619,919,744/479,197,263
  6. Step 6: Final answer
    x = 1,070,285,045.89

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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.