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Finding the Third Proportional to 404,343,225 and 577,816,962.75

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Solution

The third proportional to 404,343,225 and 577,816,962.75 is: 825,715,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,343,225 : 577,816,962.75 = 577,816,962.75 : x
  2. Step 2: Convert to fraction form
    404,343,225/577,816,962.75 = 577,816,962.75/x
  3. Step 3: Cross multiply
    404,343,225x = 577,816,962.75 × 577,816,962.75
  4. Step 4: Simplify right side
    404,343,225x = 333,872,442,441,634,880
  5. Step 5: Solve for x
    x = 333,872,442,441,634,880/404,343,225
  6. Step 6: Final answer
    x = 825,715,436.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.