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Finding the Third Proportional to 516,321 and 743,647.50

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Solution

The third proportional to 516,321 and 743,647.50 is: 1,071,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,321 : 743,647.50 = 743,647.50 : x
  2. Step 2: Convert to fraction form
    516,321/743,647.50 = 743,647.50/x
  3. Step 3: Cross multiply
    516,321x = 743,647.50 × 743,647.50
  4. Step 4: Simplify right side
    516,321x = 553,011,604,256.25
  5. Step 5: Solve for x
    x = 553,011,604,256.25/516,321
  6. Step 6: Final answer
    x = 1,071,061.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.