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Finding the Third Proportional to 329,458,871 and 497,564,729

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Solution

The third proportional to 329,458,871 and 497,564,729 is: 751,446,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,458,871 : 497,564,729 = 497,564,729 : x
  2. Step 2: Convert to fraction form
    329,458,871/497,564,729 = 497,564,729/x
  3. Step 3: Cross multiply
    329,458,871x = 497,564,729 × 497,564,729
  4. Step 4: Simplify right side
    329,458,871x = 247,570,659,544,843,456
  5. Step 5: Solve for x
    x = 247,570,659,544,843,456/329,458,871
  6. Step 6: Final answer
    x = 751,446,330.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.