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Finding the Third Proportional to 318,921 and 493,501.50

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Solution

The third proportional to 318,921 and 493,501.50 is: 763,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,921 : 493,501.50 = 493,501.50 : x
  2. Step 2: Convert to fraction form
    318,921/493,501.50 = 493,501.50/x
  3. Step 3: Cross multiply
    318,921x = 493,501.50 × 493,501.50
  4. Step 4: Simplify right side
    318,921x = 243,543,730,502.25
  5. Step 5: Solve for x
    x = 243,543,730,502.25/318,921
  6. Step 6: Final answer
    x = 763,649.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.