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Finding the Third Proportional to 411,772,684 and 627,307,220

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Solution

The third proportional to 411,772,684 and 627,307,220 is: 955,659,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,772,684 : 627,307,220 = 627,307,220 : x
  2. Step 2: Convert to fraction form
    411,772,684/627,307,220 = 627,307,220/x
  3. Step 3: Cross multiply
    411,772,684x = 627,307,220 × 627,307,220
  4. Step 4: Simplify right side
    411,772,684x = 393,514,348,264,128,384
  5. Step 5: Solve for x
    x = 393,514,348,264,128,384/411,772,684
  6. Step 6: Final answer
    x = 955,659,186.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.