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Finding the Third Proportional to 292,812 and 611,040

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Solution

The third proportional to 292,812 and 611,040 is: 1,275,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,812 : 611,040 = 611,040 : x
  2. Step 2: Convert to fraction form
    292,812/611,040 = 611,040/x
  3. Step 3: Cross multiply
    292,812x = 611,040 × 611,040
  4. Step 4: Simplify right side
    292,812x = 373,369,881,600
  5. Step 5: Solve for x
    x = 373,369,881,600/292,812
  6. Step 6: Final answer
    x = 1,275,118.10

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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.