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Finding the Third Proportional to 364,321,742 and 563,506,918

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Solution

The third proportional to 364,321,742 and 563,506,918 is: 871,592,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321,742 : 563,506,918 = 563,506,918 : x
  2. Step 2: Convert to fraction form
    364,321,742/563,506,918 = 563,506,918/x
  3. Step 3: Cross multiply
    364,321,742x = 563,506,918 × 563,506,918
  4. Step 4: Simplify right side
    364,321,742x = 317,540,046,633,858,752
  5. Step 5: Solve for x
    x = 317,540,046,633,858,752/364,321,742
  6. Step 6: Final answer
    x = 871,592,359.24

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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.