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Finding the Third Proportional to 291,420,733.50 and 475,813,453.50

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Solution

The third proportional to 291,420,733.50 and 475,813,453.50 is: 776,878,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420,733.50 : 475,813,453.50 = 475,813,453.50 : x
  2. Step 2: Convert to fraction form
    291,420,733.50/475,813,453.50 = 475,813,453.50/x
  3. Step 3: Cross multiply
    291,420,733.50x = 475,813,453.50 × 475,813,453.50
  4. Step 4: Simplify right side
    291,420,733.50x = 226,398,442,531,596,672
  5. Step 5: Solve for x
    x = 226,398,442,531,596,672/291,420,733.50
  6. Step 6: Final answer
    x = 776,878,294.87

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Why These Related Problems?

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