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Finding the Third Proportional to 287,526,172.50 and 411,165,794.25

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Solution

The third proportional to 287,526,172.50 and 411,165,794.25 is: 587,971,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,526,172.50 : 411,165,794.25 = 411,165,794.25 : x
  2. Step 2: Convert to fraction form
    287,526,172.50/411,165,794.25 = 411,165,794.25/x
  3. Step 3: Cross multiply
    287,526,172.50x = 411,165,794.25 × 411,165,794.25
  4. Step 4: Simplify right side
    287,526,172.50x = 169,057,310,361,233,344
  5. Step 5: Solve for x
    x = 169,057,310,361,233,344/287,526,172.50
  6. Step 6: Final answer
    x = 587,971,901.45

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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.