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Finding the Third Proportional to 350,535 and 760,119

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Solution

The third proportional to 350,535 and 760,119 is: 1,648,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,535 : 760,119 = 760,119 : x
  2. Step 2: Convert to fraction form
    350,535/760,119 = 760,119/x
  3. Step 3: Cross multiply
    350,535x = 760,119 × 760,119
  4. Step 4: Simplify right side
    350,535x = 577,780,894,161
  5. Step 5: Solve for x
    x = 577,780,894,161/350,535
  6. Step 6: Final answer
    x = 1,648,283.04

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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.