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Finding the Third Proportional to 270,457,683.75 and 404,094,420

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Solution

The third proportional to 270,457,683.75 and 404,094,420 is: 603,762,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,457,683.75 : 404,094,420 = 404,094,420 : x
  2. Step 2: Convert to fraction form
    270,457,683.75/404,094,420 = 404,094,420/x
  3. Step 3: Cross multiply
    270,457,683.75x = 404,094,420 × 404,094,420
  4. Step 4: Simplify right side
    270,457,683.75x = 163,292,300,275,136,384
  5. Step 5: Solve for x
    x = 163,292,300,275,136,384/270,457,683.75
  6. Step 6: Final answer
    x = 603,762,843.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.