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Finding the Third Proportional to 264,755,766 and 577,182,466

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Solution

The third proportional to 264,755,766 and 577,182,466 is: 1,258,290,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,755,766 : 577,182,466 = 577,182,466 : x
  2. Step 2: Convert to fraction form
    264,755,766/577,182,466 = 577,182,466/x
  3. Step 3: Cross multiply
    264,755,766x = 577,182,466 × 577,182,466
  4. Step 4: Simplify right side
    264,755,766x = 333,139,599,057,841,152
  5. Step 5: Solve for x
    x = 333,139,599,057,841,152/264,755,766
  6. Step 6: Final answer
    x = 1,258,290,250.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.