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Finding the Third Proportional to 267,549,424.50 and 409,320,663

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Solution

The third proportional to 267,549,424.50 and 409,320,663 is: 626,214,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,549,424.50 : 409,320,663 = 409,320,663 : x
  2. Step 2: Convert to fraction form
    267,549,424.50/409,320,663 = 409,320,663/x
  3. Step 3: Cross multiply
    267,549,424.50x = 409,320,663 × 409,320,663
  4. Step 4: Simplify right side
    267,549,424.50x = 167,543,405,158,759,584
  5. Step 5: Solve for x
    x = 167,543,405,158,759,584/267,549,424.50
  6. Step 6: Final answer
    x = 626,214,784.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.