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Finding the Third Proportional to 364,321,738 and 563,506,912

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Solution

The third proportional to 364,321,738 and 563,506,912 is: 871,592,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321,738 : 563,506,912 = 563,506,912 : x
  2. Step 2: Convert to fraction form
    364,321,738/563,506,912 = 563,506,912/x
  3. Step 3: Cross multiply
    364,321,738x = 563,506,912 × 563,506,912
  4. Step 4: Simplify right side
    364,321,738x = 317,540,039,871,775,744
  5. Step 5: Solve for x
    x = 317,540,039,871,775,744/364,321,738
  6. Step 6: Final answer
    x = 871,592,350.25

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