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Finding the Third Proportional to 409,673,342.50 and 598,956,749

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Solution

The third proportional to 409,673,342.50 and 598,956,749 is: 875,695,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,673,342.50 : 598,956,749 = 598,956,749 : x
  2. Step 2: Convert to fraction form
    409,673,342.50/598,956,749 = 598,956,749/x
  3. Step 3: Cross multiply
    409,673,342.50x = 598,956,749 × 598,956,749
  4. Step 4: Simplify right side
    409,673,342.50x = 358,749,187,172,649,024
  5. Step 5: Solve for x
    x = 358,749,187,172,649,024/409,673,342.50
  6. Step 6: Final answer
    x = 875,695,706.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.