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Finding the Third Proportional to 330,594 and 716,160

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Solution

The third proportional to 330,594 and 716,160 is: 1,551,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,594 : 716,160 = 716,160 : x
  2. Step 2: Convert to fraction form
    330,594/716,160 = 716,160/x
  3. Step 3: Cross multiply
    330,594x = 716,160 × 716,160
  4. Step 4: Simplify right side
    330,594x = 512,885,145,600
  5. Step 5: Solve for x
    x = 512,885,145,600/330,594
  6. Step 6: Final answer
    x = 1,551,404.88

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Why These Related Problems?

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