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Finding the Third Proportional to 330,610 and 716,164

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Solution

The third proportional to 330,610 and 716,164 is: 1,551,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,610 : 716,164 = 716,164 : x
  2. Step 2: Convert to fraction form
    330,610/716,164 = 716,164/x
  3. Step 3: Cross multiply
    330,610x = 716,164 × 716,164
  4. Step 4: Simplify right side
    330,610x = 512,890,874,896
  5. Step 5: Solve for x
    x = 512,890,874,896/330,610
  6. Step 6: Final answer
    x = 1,551,347.13

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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.