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Finding the Third Proportional to 292,809 and 611,034

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Solution

The third proportional to 292,809 and 611,034 is: 1,275,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,809 : 611,034 = 611,034 : x
  2. Step 2: Convert to fraction form
    292,809/611,034 = 611,034/x
  3. Step 3: Cross multiply
    292,809x = 611,034 × 611,034
  4. Step 4: Simplify right side
    292,809x = 373,362,549,156
  5. Step 5: Solve for x
    x = 373,362,549,156/292,809
  6. Step 6: Final answer
    x = 1,275,106.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.