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Finding the Third Proportional to 598,488.75 and 915,629.06

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Solution

The third proportional to 598,488.75 and 915,629.06 is: 1,400,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,488.75 : 915,629.06 = 915,629.06 : x
  2. Step 2: Convert to fraction form
    598,488.75/915,629.06 = 915,629.06/x
  3. Step 3: Cross multiply
    598,488.75x = 915,629.06 × 915,629.06
  4. Step 4: Simplify right side
    598,488.75x = 838,376,580,094.63
  5. Step 5: Solve for x
    x = 838,376,580,094.63/598,488.75
  6. Step 6: Final answer
    x = 1,400,822.62

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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.