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Finding the Third Proportional to 279,285,262 and 592,614,148

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Solution

The third proportional to 279,285,262 and 592,614,148 is: 1,257,465,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,285,262 : 592,614,148 = 592,614,148 : x
  2. Step 2: Convert to fraction form
    279,285,262/592,614,148 = 592,614,148/x
  3. Step 3: Cross multiply
    279,285,262x = 592,614,148 × 592,614,148
  4. Step 4: Simplify right side
    279,285,262x = 351,191,528,409,765,888
  5. Step 5: Solve for x
    x = 351,191,528,409,765,888/279,285,262
  6. Step 6: Final answer
    x = 1,257,465,309.46

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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.