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Finding the Third Proportional to 291,032,712 and 436,442,202

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Solution

The third proportional to 291,032,712 and 436,442,202 is: 654,503,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,032,712 : 436,442,202 = 436,442,202 : x
  2. Step 2: Convert to fraction form
    291,032,712/436,442,202 = 436,442,202/x
  3. Step 3: Cross multiply
    291,032,712x = 436,442,202 × 436,442,202
  4. Step 4: Simplify right side
    291,032,712x = 190,481,795,686,608,800
  5. Step 5: Solve for x
    x = 190,481,795,686,608,800/291,032,712
  6. Step 6: Final answer
    x = 654,503,043.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.