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Finding the Third Proportional to 281,254,520 and 616,967,527

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Solution

The third proportional to 281,254,520 and 616,967,527 is: 1,353,396,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,254,520 : 616,967,527 = 616,967,527 : x
  2. Step 2: Convert to fraction form
    281,254,520/616,967,527 = 616,967,527/x
  3. Step 3: Cross multiply
    281,254,520x = 616,967,527 × 616,967,527
  4. Step 4: Simplify right side
    281,254,520x = 380,648,929,372,495,744
  5. Step 5: Solve for x
    x = 380,648,929,372,495,744/281,254,520
  6. Step 6: Final answer
    x = 1,353,396,664.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.