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Finding the Third Proportional to 275,506,354 and 599,438,708

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Solution

The third proportional to 275,506,354 and 599,438,708 is: 1,304,241,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,506,354 : 599,438,708 = 599,438,708 : x
  2. Step 2: Convert to fraction form
    275,506,354/599,438,708 = 599,438,708/x
  3. Step 3: Cross multiply
    275,506,354x = 599,438,708 × 599,438,708
  4. Step 4: Simplify right side
    275,506,354x = 359,326,764,648,709,248
  5. Step 5: Solve for x
    x = 359,326,764,648,709,248/275,506,354
  6. Step 6: Final answer
    x = 1,304,241,297.64

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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.