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Finding the Third Proportional to 332,653.50 and 508,959

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Solution

The third proportional to 332,653.50 and 508,959 is: 778,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,653.50 : 508,959 = 508,959 : x
  2. Step 2: Convert to fraction form
    332,653.50/508,959 = 508,959/x
  3. Step 3: Cross multiply
    332,653.50x = 508,959 × 508,959
  4. Step 4: Simplify right side
    332,653.50x = 259,039,263,681
  5. Step 5: Solve for x
    x = 259,039,263,681/332,653.50
  6. Step 6: Final answer
    x = 778,705.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.