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Finding the Third Proportional to 362,492,317 and 536,943,401

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Solution

The third proportional to 362,492,317 and 536,943,401 is: 795,349,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,492,317 : 536,943,401 = 536,943,401 : x
  2. Step 2: Convert to fraction form
    362,492,317/536,943,401 = 536,943,401/x
  3. Step 3: Cross multiply
    362,492,317x = 536,943,401 × 536,943,401
  4. Step 4: Simplify right side
    362,492,317x = 288,308,215,877,446,784
  5. Step 5: Solve for x
    x = 288,308,215,877,446,784/362,492,317
  6. Step 6: Final answer
    x = 795,349,866.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.