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Finding the Third Proportional to 322,824,507 and 452,986,704

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Solution

The third proportional to 322,824,507 and 452,986,704 is: 635,630,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,824,507 : 452,986,704 = 452,986,704 : x
  2. Step 2: Convert to fraction form
    322,824,507/452,986,704 = 452,986,704/x
  3. Step 3: Cross multiply
    322,824,507x = 452,986,704 × 452,986,704
  4. Step 4: Simplify right side
    322,824,507x = 205,196,954,000,783,616
  5. Step 5: Solve for x
    x = 205,196,954,000,783,616/322,824,507
  6. Step 6: Final answer
    x = 635,630,039.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.