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Finding the Third Proportional to 656,234.50 and 938,403.50

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Solution

The third proportional to 656,234.50 and 938,403.50 is: 1,341,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,234.50 : 938,403.50 = 938,403.50 : x
  2. Step 2: Convert to fraction form
    656,234.50/938,403.50 = 938,403.50/x
  3. Step 3: Cross multiply
    656,234.50x = 938,403.50 × 938,403.50
  4. Step 4: Simplify right side
    656,234.50x = 880,601,128,812.25
  5. Step 5: Solve for x
    x = 880,601,128,812.25/656,234.50
  6. Step 6: Final answer
    x = 1,341,900.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.