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Finding the Third Proportional to 260,248,545 and 346,959,369

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Solution

The third proportional to 260,248,545 and 346,959,369 is: 462,560,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,248,545 : 346,959,369 = 346,959,369 : x
  2. Step 2: Convert to fraction form
    260,248,545/346,959,369 = 346,959,369/x
  3. Step 3: Cross multiply
    260,248,545x = 346,959,369 × 346,959,369
  4. Step 4: Simplify right side
    260,248,545x = 120,380,803,736,878,160
  5. Step 5: Solve for x
    x = 120,380,803,736,878,160/260,248,545
  6. Step 6: Final answer
    x = 462,560,909.75

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.