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Finding the Third Proportional to 364,321,728 and 563,506,896

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Solution

The third proportional to 364,321,728 and 563,506,896 is: 871,592,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321,728 : 563,506,896 = 563,506,896 : x
  2. Step 2: Convert to fraction form
    364,321,728/563,506,896 = 563,506,896/x
  3. Step 3: Cross multiply
    364,321,728x = 563,506,896 × 563,506,896
  4. Step 4: Simplify right side
    364,321,728x = 317,540,021,839,554,816
  5. Step 5: Solve for x
    x = 317,540,021,839,554,816/364,321,728
  6. Step 6: Final answer
    x = 871,592,324.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.