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Finding the Third Proportional to 338,525,705.25 and 467,765,641.13

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Solution

The third proportional to 338,525,705.25 and 467,765,641.13 is: 646,345,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,525,705.25 : 467,765,641.13 = 467,765,641.13 : x
  2. Step 2: Convert to fraction form
    338,525,705.25/467,765,641.13 = 467,765,641.13/x
  3. Step 3: Cross multiply
    338,525,705.25x = 467,765,641.13 × 467,765,641.13
  4. Step 4: Simplify right side
    338,525,705.25x = 218,804,695,017,082,304
  5. Step 5: Solve for x
    x = 218,804,695,017,082,304/338,525,705.25
  6. Step 6: Final answer
    x = 646,345,880.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.