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Finding the Third Proportional to 340,104,877.25 and 510,068,740

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Solution

The third proportional to 340,104,877.25 and 510,068,740 is: 764,970,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,104,877.25 : 510,068,740 = 510,068,740 : x
  2. Step 2: Convert to fraction form
    340,104,877.25/510,068,740 = 510,068,740/x
  3. Step 3: Cross multiply
    340,104,877.25x = 510,068,740 × 510,068,740
  4. Step 4: Simplify right side
    340,104,877.25x = 260,170,119,525,187,584
  5. Step 5: Solve for x
    x = 260,170,119,525,187,584/340,104,877.25
  6. Step 6: Final answer
    x = 764,970,269.26

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Why These Related Problems?

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