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Finding the Third Proportional to 320,098.50 and 700,461

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Solution

The third proportional to 320,098.50 and 700,461 is: 1,532,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,098.50 : 700,461 = 700,461 : x
  2. Step 2: Convert to fraction form
    320,098.50/700,461 = 700,461/x
  3. Step 3: Cross multiply
    320,098.50x = 700,461 × 700,461
  4. Step 4: Simplify right side
    320,098.50x = 490,645,612,521
  5. Step 5: Solve for x
    x = 490,645,612,521/320,098.50
  6. Step 6: Final answer
    x = 1,532,795.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.