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Finding the Third Proportional to 347,202 and 760,878

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Solution

The third proportional to 347,202 and 760,878 is: 1,667,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,202 : 760,878 = 760,878 : x
  2. Step 2: Convert to fraction form
    347,202/760,878 = 760,878/x
  3. Step 3: Cross multiply
    347,202x = 760,878 × 760,878
  4. Step 4: Simplify right side
    347,202x = 578,935,330,884
  5. Step 5: Solve for x
    x = 578,935,330,884/347,202
  6. Step 6: Final answer
    x = 1,667,430.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.