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Finding the Third Proportional to 323,841,264 and 497,455,668

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Solution

The third proportional to 323,841,264 and 497,455,668 is: 764,146,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,841,264 : 497,455,668 = 497,455,668 : x
  2. Step 2: Convert to fraction form
    323,841,264/497,455,668 = 497,455,668/x
  3. Step 3: Cross multiply
    323,841,264x = 497,455,668 × 497,455,668
  4. Step 4: Simplify right side
    323,841,264x = 247,462,141,625,326,208
  5. Step 5: Solve for x
    x = 247,462,141,625,326,208/323,841,264
  6. Step 6: Final answer
    x = 764,146,417.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.