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Finding the Third Proportional to 279,285,259.50 and 592,614,144

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Solution

The third proportional to 279,285,259.50 and 592,614,144 is: 1,257,465,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,285,259.50 : 592,614,144 = 592,614,144 : x
  2. Step 2: Convert to fraction form
    279,285,259.50/592,614,144 = 592,614,144/x
  3. Step 3: Cross multiply
    279,285,259.50x = 592,614,144 × 592,614,144
  4. Step 4: Simplify right side
    279,285,259.50x = 351,191,523,668,852,736
  5. Step 5: Solve for x
    x = 351,191,523,668,852,736/279,285,259.50
  6. Step 6: Final answer
    x = 1,257,465,303.75

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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.