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Finding the Third Proportional to 476,406,864 and 728,625,024

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Solution

The third proportional to 476,406,864 and 728,625,024 is: 1,114,371,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,406,864 : 728,625,024 = 728,625,024 : x
  2. Step 2: Convert to fraction form
    476,406,864/728,625,024 = 728,625,024/x
  3. Step 3: Cross multiply
    476,406,864x = 728,625,024 × 728,625,024
  4. Step 4: Simplify right side
    476,406,864x = 530,894,425,599,000,576
  5. Step 5: Solve for x
    x = 530,894,425,599,000,576/476,406,864
  6. Step 6: Final answer
    x = 1,114,371,907.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.