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Finding the Third Proportional to 261,761,173 and 405,869,714

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Solution

The third proportional to 261,761,173 and 405,869,714 is: 629,314,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,761,173 : 405,869,714 = 405,869,714 : x
  2. Step 2: Convert to fraction form
    261,761,173/405,869,714 = 405,869,714/x
  3. Step 3: Cross multiply
    261,761,173x = 405,869,714 × 405,869,714
  4. Step 4: Simplify right side
    261,761,173x = 164,730,224,742,441,792
  5. Step 5: Solve for x
    x = 164,730,224,742,441,792/261,761,173
  6. Step 6: Final answer
    x = 629,314,970.03

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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.