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Finding the Third Proportional to 562,040 and 843,081

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Solution

The third proportional to 562,040 and 843,081 is: 1,264,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,040 : 843,081 = 843,081 : x
  2. Step 2: Convert to fraction form
    562,040/843,081 = 843,081/x
  3. Step 3: Cross multiply
    562,040x = 843,081 × 843,081
  4. Step 4: Simplify right side
    562,040x = 710,785,572,561
  5. Step 5: Solve for x
    x = 710,785,572,561/562,040
  6. Step 6: Final answer
    x = 1,264,653.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.