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Finding the Third Proportional to 275,506,340 and 599,438,686

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Solution

The third proportional to 275,506,340 and 599,438,686 is: 1,304,241,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,506,340 : 599,438,686 = 599,438,686 : x
  2. Step 2: Convert to fraction form
    275,506,340/599,438,686 = 599,438,686/x
  3. Step 3: Cross multiply
    275,506,340x = 599,438,686 × 599,438,686
  4. Step 4: Simplify right side
    275,506,340x = 359,326,738,273,406,592
  5. Step 5: Solve for x
    x = 359,326,738,273,406,592/275,506,340
  6. Step 6: Final answer
    x = 1,304,241,268.18

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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.