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Finding the Third Proportional to 264,576,987.50 and 411,328,795.25

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Solution

The third proportional to 264,576,987.50 and 411,328,795.25 is: 639,478,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,576,987.50 : 411,328,795.25 = 411,328,795.25 : x
  2. Step 2: Convert to fraction form
    264,576,987.50/411,328,795.25 = 411,328,795.25/x
  3. Step 3: Cross multiply
    264,576,987.50x = 411,328,795.25 × 411,328,795.25
  4. Step 4: Simplify right side
    264,576,987.50x = 169,191,377,801,816,416
  5. Step 5: Solve for x
    x = 169,191,377,801,816,416/264,576,987.50
  6. Step 6: Final answer
    x = 639,478,812.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.