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Finding the Third Proportional to 281,480,272 and 586,258,304

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Solution

The third proportional to 281,480,272 and 586,258,304 is: 1,221,040,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,480,272 : 586,258,304 = 586,258,304 : x
  2. Step 2: Convert to fraction form
    281,480,272/586,258,304 = 586,258,304/x
  3. Step 3: Cross multiply
    281,480,272x = 586,258,304 × 586,258,304
  4. Step 4: Simplify right side
    281,480,272x = 343,698,799,008,956,416
  5. Step 5: Solve for x
    x = 343,698,799,008,956,416/281,480,272
  6. Step 6: Final answer
    x = 1,221,040,453.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.