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Finding the Third Proportional to 282,474,402 and 598,550,601

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Solution

The third proportional to 282,474,402 and 598,550,601 is: 1,268,301,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,474,402 : 598,550,601 = 598,550,601 : x
  2. Step 2: Convert to fraction form
    282,474,402/598,550,601 = 598,550,601/x
  3. Step 3: Cross multiply
    282,474,402x = 598,550,601 × 598,550,601
  4. Step 4: Simplify right side
    282,474,402x = 358,262,821,957,461,184
  5. Step 5: Solve for x
    x = 358,262,821,957,461,184/282,474,402
  6. Step 6: Final answer
    x = 1,268,301,904.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.