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Finding the Third Proportional to 658,813.50 and 963,090

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Solution

The third proportional to 658,813.50 and 963,090 is: 1,407,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,813.50 : 963,090 = 963,090 : x
  2. Step 2: Convert to fraction form
    658,813.50/963,090 = 963,090/x
  3. Step 3: Cross multiply
    658,813.50x = 963,090 × 963,090
  4. Step 4: Simplify right side
    658,813.50x = 927,542,348,100
  5. Step 5: Solve for x
    x = 927,542,348,100/658,813.50
  6. Step 6: Final answer
    x = 1,407,898.21

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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.