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Finding the Third Proportional to 714,408 and 1,088,360

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Solution

The third proportional to 714,408 and 1,088,360 is: 1,658,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,408 : 1,088,360 = 1,088,360 : x
  2. Step 2: Convert to fraction form
    714,408/1,088,360 = 1,088,360/x
  3. Step 3: Cross multiply
    714,408x = 1,088,360 × 1,088,360
  4. Step 4: Simplify right side
    714,408x = 1,184,527,489,600
  5. Step 5: Solve for x
    x = 1,184,527,489,600/714,408
  6. Step 6: Final answer
    x = 1,658,054.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.