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Finding the Third Proportional to 330,703.50 and 716,343

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Solution

The third proportional to 330,703.50 and 716,343 is: 1,551,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,703.50 : 716,343 = 716,343 : x
  2. Step 2: Convert to fraction form
    330,703.50/716,343 = 716,343/x
  3. Step 3: Cross multiply
    330,703.50x = 716,343 × 716,343
  4. Step 4: Simplify right side
    330,703.50x = 513,147,293,649
  5. Step 5: Solve for x
    x = 513,147,293,649/330,703.50
  6. Step 6: Final answer
    x = 1,551,683.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.