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Finding the Third Proportional to 598,495.50 and 952,785

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Solution

The third proportional to 598,495.50 and 952,785 is: 1,516,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,495.50 : 952,785 = 952,785 : x
  2. Step 2: Convert to fraction form
    598,495.50/952,785 = 952,785/x
  3. Step 3: Cross multiply
    598,495.50x = 952,785 × 952,785
  4. Step 4: Simplify right side
    598,495.50x = 907,799,256,225
  5. Step 5: Solve for x
    x = 907,799,256,225/598,495.50
  6. Step 6: Final answer
    x = 1,516,802.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.