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Finding the Third Proportional to 411,070,904 and 559,903,740

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Solution

The third proportional to 411,070,904 and 559,903,740 is: 762,623,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,070,904 : 559,903,740 = 559,903,740 : x
  2. Step 2: Convert to fraction form
    411,070,904/559,903,740 = 559,903,740/x
  3. Step 3: Cross multiply
    411,070,904x = 559,903,740 × 559,903,740
  4. Step 4: Simplify right side
    411,070,904x = 313,492,198,065,987,584
  5. Step 5: Solve for x
    x = 313,492,198,065,987,584/411,070,904
  6. Step 6: Final answer
    x = 762,623,175.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.