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Finding the Third Proportional to 283,400,392 and 462,767,316

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Solution

The third proportional to 283,400,392 and 462,767,316 is: 755,657,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,400,392 : 462,767,316 = 462,767,316 : x
  2. Step 2: Convert to fraction form
    283,400,392/462,767,316 = 462,767,316/x
  3. Step 3: Cross multiply
    283,400,392x = 462,767,316 × 462,767,316
  4. Step 4: Simplify right side
    283,400,392x = 214,153,588,757,843,840
  5. Step 5: Solve for x
    x = 214,153,588,757,843,840/283,400,392
  6. Step 6: Final answer
    x = 755,657,348.41

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.